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Finding the Third Proportional to 424,824,318 and 656,102,997

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Solution

The third proportional to 424,824,318 and 656,102,997 is: 1,013,292,140.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,824,318 : 656,102,997 = 656,102,997 : x
  2. Step 2: Convert to fraction form
    424,824,318/656,102,997 = 656,102,997/x
  3. Step 3: Cross multiply
    424,824,318x = 656,102,997 × 656,102,997
  4. Step 4: Simplify right side
    424,824,318x = 430,471,142,672,382,016
  5. Step 5: Solve for x
    x = 430,471,142,672,382,016/424,824,318
  6. Step 6: Final answer
    x = 1,013,292,140.85

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.