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Finding the Third Proportional to 2,781,902 and 5,931,256

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Solution

The third proportional to 2,781,902 and 5,931,256 is: 12,645,951.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781,902 : 5,931,256 = 5,931,256 : x
  2. Step 2: Convert to fraction form
    2,781,902/5,931,256 = 5,931,256/x
  3. Step 3: Cross multiply
    2,781,902x = 5,931,256 × 5,931,256
  4. Step 4: Simplify right side
    2,781,902x = 35,179,797,737,536
  5. Step 5: Solve for x
    x = 35,179,797,737,536/2,781,902
  6. Step 6: Final answer
    x = 12,645,951.49

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.