WWI doesn't break out in 1914. Once Russia's Great Military Program is completed in 1917, Britain drifts away from France and Russia and eventually allies with Germany and Austria-Hungary.
Frankly, I'm glad that you didn't put an end date for this.
France and Russia go to war against Britain, Germany, and one or more of these three powers (Austria-Hungary, the Ottoman Empire, and Japan) around 1950--once France and Russia feel sufficiently confident that they can with a war with Britain and Germany.
There--how exactly is that?