Stop stop STOP... rewind:
What you're talking about is 'synthetic' pairs.
Take a moment to read about it over at
babypips.com's school course on the subject.
Basically, you don't want to do this for the majors, since it would just effectively increase your spread cost vs taking the pair directly.
Instead, use this method to create exotic pairs that might not be offered by your broker.... for example, if your broker only offers the Mexican Peso as quoted against the US Dollar, and you want to trade the Peso vs the Canadian dollar, then you could use a synthetic crafted out of USD/MXN and USD/CAD to do so. . .
Most brokers already do this for you... they might not have a good liquidity source on some exotic pairs so they construct the pair themselves and quote it to you as a normal symbol... this is why the spread can be so high and varied between brokers on some exotics.
Lastly, keep in mind that the exact position sizing to create an accurate synthetic often is hard to achieve with a fixed lot broker... a company like Oanda who lets you trade in orders as low as a single dollar of currency would be best to make the synthetic pair perfect.
Also, consider charting packages that allow you to plot a synthetic.. Thinkorswim's platform allows you to view the difference between prices on two instruments, which would give you a rough indicator of chart action on the synthetic.