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Finding the Third Proportional to 2,981,376 and 4,214,592

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Solution

The third proportional to 2,981,376 and 4,214,592 is: 5,957,915.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981,376 : 4,214,592 = 4,214,592 : x
  2. Step 2: Convert to fraction form
    2,981,376/4,214,592 = 4,214,592/x
  3. Step 3: Cross multiply
    2,981,376x = 4,214,592 × 4,214,592
  4. Step 4: Simplify right side
    2,981,376x = 17,762,785,726,464
  5. Step 5: Solve for x
    x = 17,762,785,726,464/2,981,376
  6. Step 6: Final answer
    x = 5,957,915.31

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.