Math Problem $($Show Calculations$)$:

Suppose you are given the following exchange rates:

$S^{\frac{\text{\$}}{R}}=0\mathrm{.}03158\frac{\text{\$}}{R}$

$S^{*\frac{*}{R}}=3\mathrm{.}6755\frac{}{R}$

$S^{\frac{\text{\#}}{\text{\$}}}=123\mathrm{.}44\frac{}{\text{\$}}$

$(R$ is Russian Ruble, $$ is Japanese Yen and $ is U$.$S$.$ Dollar$)$

Check and see if there is a triangular arbitrage and calculate the arbitrage profits if you start with $$1,000,000.$