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Finding the Third Proportional to 1,689,366 and 3,642,792

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Solution

The third proportional to 1,689,366 and 3,642,792 is: 7,854,978.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689,366 : 3,642,792 = 3,642,792 : x
  2. Step 2: Convert to fraction form
    1,689,366/3,642,792 = 3,642,792/x
  3. Step 3: Cross multiply
    1,689,366x = 3,642,792 × 3,642,792
  4. Step 4: Simplify right side
    1,689,366x = 13,269,933,555,264
  5. Step 5: Solve for x
    x = 13,269,933,555,264/1,689,366
  6. Step 6: Final answer
    x = 7,854,978.47

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.