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Finding the Third Proportional to 728,472 and 1,102,864

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Solution

The third proportional to 728,472 and 1,102,864 is: 1,669,671.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,472 : 1,102,864 = 1,102,864 : x
  2. Step 2: Convert to fraction form
    728,472/1,102,864 = 1,102,864/x
  3. Step 3: Cross multiply
    728,472x = 1,102,864 × 1,102,864
  4. Step 4: Simplify right side
    728,472x = 1,216,309,002,496
  5. Step 5: Solve for x
    x = 1,216,309,002,496/728,472
  6. Step 6: Final answer
    x = 1,669,671.59

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.