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Finding the Third Proportional to 2,731,902 and 4,138,691

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Solution

The third proportional to 2,731,902 and 4,138,691 is: 6,269,903.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731,902 : 4,138,691 = 4,138,691 : x
  2. Step 2: Convert to fraction form
    2,731,902/4,138,691 = 4,138,691/x
  3. Step 3: Cross multiply
    2,731,902x = 4,138,691 × 4,138,691
  4. Step 4: Simplify right side
    2,731,902x = 17,128,763,193,481
  5. Step 5: Solve for x
    x = 17,128,763,193,481/2,731,902
  6. Step 6: Final answer
    x = 6,269,903.97

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.