Comment by kbelder

How strange.

"I only ran the first half of the program, but it didn't seem to give the correct answer, so it's obviously broken."

"I only read the first half of the proof, but the answer wasn't contained there, so I'm forced to conclude the proof is worthless."

You simply gave up before encountering the mathematical reason the relationship exists, why the units are different, and so on. You just ran with your incorrect initial assumption.