Flatten a sequential algorithm

[stockwet]

Hello,

I'm looking to "flatten" out a sequential algorithm into a single formula. This is for my own personal interest, unrelated to a school assignment. It has piqued my curiosity.

Given P1, V1, P2 and P3 ...

1) P1 * V1 = X1
2) X1 * P2 = V2
3) V2 / P3 = V3

Is there a simple formula where, given P1, V1, P2 and P3, I can solve for V3 without having to iterate through the sequences?

Thanks!

stockwet

[stockwet]

I should also say that I believe the solution is ...

(P1 x V1 x P2) / P3

Seems simple enough, but, I wanted to check my thinking.

[Math Tutor]

Yes, the solution is (P1 x V1 x P2) / P3
I do not think there is a more simple solution.