You are a financial advisor and one of your clients wants to retire in $10$ years.

They have an account with a financial institution that pays $8\%$ and they want to deposit an amount that will provide them with $$1,500,000$ when they retire.

Currently, they have $$650,000$ in the account. How much additional money needs to be deposited now to provide them with $$1,500,000$ when they retire?