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Finding the Third Proportional to 484,491,098 and 1,062,780,718

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Solution

The third proportional to 484,491,098 and 1,062,780,718 is: 2,331,318,076.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,491,098 : 1,062,780,718 = 1,062,780,718 : x
  2. Step 2: Convert to fraction form
    484,491,098/1,062,780,718 = 1,062,780,718/x
  3. Step 3: Cross multiply
    484,491,098x = 1,062,780,718 × 1,062,780,718
  4. Step 4: Simplify right side
    484,491,098x = 1,129,502,854,552,595,584
  5. Step 5: Solve for x
    x = 1,129,502,854,552,595,584/484,491,098
  6. Step 6: Final answer
    x = 2,331,318,076.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.