Given the following information, take advantage of the triangular arbitrage opportunity and calculate the US dollar profit for an investment of $$1,000,000.$ Make sure to calculate and show the cross$-$rate, clearly state which currency is overvalued$/$undervalued by Dealer $3,$ and show the steps in the triangular arbitrage $($you will not receive full credit if you don't show any triangular arbitrage steps$).$

Euro in US dollars $($USD$/$EUR$)1\mathrm{.}09$

British pound in US dollars $($USD$/$GBP$)1\mathrm{.}18$

Dealer $3$: pound in euros $($EUR$/$GBP$)1\mathrm{.}13$