# Communicating Vessels #2

There are 2 similar communicating vessels, each contains 2 different liquids that aren't miscible in each other. The liquids are separated by a valve and at the same height $H$. Open the valve.

The specific gravity of the vessel 1 is bigger than the specific gravity of the vessel 2 (or $d_{1} > d_{2}$. Neglect the capacity of the part connecting 2 vessels altogether.

Add in a vessel another liquid (liquid 3), which isn't miscible in the other 2 liquids, with a specific gravity of $d_{3}$ until the first two liquids have the same liquid level. Find the liquid level of liquid 3.

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