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Finding the Third Proportional to 1,410,829 and 3,086,689

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Solution

The third proportional to 1,410,829 and 3,086,689 is: 6,753,227.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410,829 : 3,086,689 = 3,086,689 : x
  2. Step 2: Convert to fraction form
    1,410,829/3,086,689 = 3,086,689/x
  3. Step 3: Cross multiply
    1,410,829x = 3,086,689 × 3,086,689
  4. Step 4: Simplify right side
    1,410,829x = 9,527,648,982,721
  5. Step 5: Solve for x
    x = 9,527,648,982,721/1,410,829
  6. Step 6: Final answer
    x = 6,753,227.35

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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.