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Finding the Third Proportional to 465,862,934 and 730,738,227

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Solution

The third proportional to 465,862,934 and 730,738,227 is: 1,146,213,440.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,862,934 : 730,738,227 = 730,738,227 : x
  2. Step 2: Convert to fraction form
    465,862,934/730,738,227 = 730,738,227/x
  3. Step 3: Cross multiply
    465,862,934x = 730,738,227 × 730,738,227
  4. Step 4: Simplify right side
    465,862,934x = 533,978,356,399,103,552
  5. Step 5: Solve for x
    x = 533,978,356,399,103,552/465,862,934
  6. Step 6: Final answer
    x = 1,146,213,440.54

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.