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Finding the Third Proportional to 1,947,098 and 2,904,447

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Solution

The third proportional to 1,947,098 and 2,904,447 is: 4,332,505.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947,098 : 2,904,447 = 2,904,447 : x
  2. Step 2: Convert to fraction form
    1,947,098/2,904,447 = 2,904,447/x
  3. Step 3: Cross multiply
    1,947,098x = 2,904,447 × 2,904,447
  4. Step 4: Simplify right side
    1,947,098x = 8,435,812,375,809
  5. Step 5: Solve for x
    x = 8,435,812,375,809/1,947,098
  6. Step 6: Final answer
    x = 4,332,505.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.