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Finding the Third Proportional to 730,972 and 1,096,458

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Solution

The third proportional to 730,972 and 1,096,458 is: 1,644,687

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,972 : 1,096,458 = 1,096,458 : x
  2. Step 2: Convert to fraction form
    730,972/1,096,458 = 1,096,458/x
  3. Step 3: Cross multiply
    730,972x = 1,096,458 × 1,096,458
  4. Step 4: Simplify right side
    730,972x = 1,202,220,145,764
  5. Step 5: Solve for x
    x = 1,202,220,145,764/730,972
  6. Step 6: Final answer
    x = 1,644,687

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.