You have inherited $$111,000$ from a distant relative and are going to invest it with goal of partially funding your retirement. Your plan is to accumulate $$8,000,000$ by the time you retire in $40$ years. You anticipate receiving another inheritance in $7$ years, which will be invested as well. How much will you need to invest in year $7$ to reach your retirement goal if expect annual returns of $8\%?$