The best explanation of how the American, French, and Haitian Revolutions are related is:
Debt from supporting the American Revolution led King Louis XVI to raise taxes at the Estates-General. The Third Estate objected to new taxes and wrote the Declaration of the Rights of Man and of the Citizen. The declaration inspired a revolt of the enslaved population in Haiti.
This response accurately outlines the connections between the three revolutions, highlighting the financial strain on France due to its support for the American Revolution, the resultant upheaval in France that led to the drafting of the Declaration, and how that Declaration served as inspiration for the enslaved population in Haiti seeking their own freedom.