essential to ing form vs necessary in order to infinitive/for infinitive in passive

[JACEK1]

Hello everybody!

The work essential to putting the air-conditioning into operation was performed.
The work necessary (in order) to put the air-conditioning into operation was performed.
The work necessary (in order) for the air-conditioning to be put into operation was performed.

I hope the above three sentences mean the same.

What I want to say is that "The work was performed and the very work (just mentioned) was essential to putting the air-conditioning into operation.
Similarly, "The work was performed and the very work (just mentioned) was necessary (in order) to put the air-conditioning into operation.
Similarly, "The work was performed and the very work (just mentioned) was necessary (in order) for the air-conditioning to be put into operation.

What do you think?

Thank you.

 

[MikeNewYork]

Hello everybody!

The work essential to putting the air-conditioning into operation was performed.
The work necessary (in order) to put the air-conditioning into operation was performed.
The work necessary (in order) for the air-conditioning to be put into operation was performed.

I hope the above three sentences mean the same.

What I want to say is that "The work was performed and the very work (just mentioned) was essential to putting the air-conditioning into operation.
Similarly, "The work was performed and the very work (just mentioned) was necessary (in order) to put the air-conditioning into operation.
Similarly, "The work was performed and the very work (just mentioned) was necessary (in order) for the air-conditioning to be put into operation.

What do you think?

Thank you.

They are all correct, if not a bit wordy. The have the same meaning.