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Finding the Third Proportional to 729,605 and 1,096,743

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Solution

The third proportional to 729,605 and 1,096,743 is: 1,648,625.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,605 : 1,096,743 = 1,096,743 : x
  2. Step 2: Convert to fraction form
    729,605/1,096,743 = 1,096,743/x
  3. Step 3: Cross multiply
    729,605x = 1,096,743 × 1,096,743
  4. Step 4: Simplify right side
    729,605x = 1,202,845,208,049
  5. Step 5: Solve for x
    x = 1,202,845,208,049/729,605
  6. Step 6: Final answer
    x = 1,648,625.23

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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.