KöMaL 2016 C1366

The creatures living on asteroid GZs4-26 count in base three. The digits they use are $\triangle$, $\square$ and $\bigcirc$, in some order. Given that $\square\square\square\cdot \triangle\triangle =\square\bigcirc \triangle\square\triangle$, determine the result of the multiplication $\triangle\square\bigcirc\cdot \square\bigcirc\square\triangle$.