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Finding the Third Proportional to 1,681,816 and 3,676,616

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Solution

The third proportional to 1,681,816 and 3,676,616 is: 8,037,445.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681,816 : 3,676,616 = 3,676,616 : x
  2. Step 2: Convert to fraction form
    1,681,816/3,676,616 = 3,676,616/x
  3. Step 3: Cross multiply
    1,681,816x = 3,676,616 × 3,676,616
  4. Step 4: Simplify right side
    1,681,816x = 13,517,505,211,456
  5. Step 5: Solve for x
    x = 13,517,505,211,456/1,681,816
  6. Step 6: Final answer
    x = 8,037,445.96

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.