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Finding the Third Proportional to 2,429,044 and 5,231,761

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Solution

The third proportional to 2,429,044 and 5,231,761 is: 11,268,352.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429,044 : 5,231,761 = 5,231,761 : x
  2. Step 2: Convert to fraction form
    2,429,044/5,231,761 = 5,231,761/x
  3. Step 3: Cross multiply
    2,429,044x = 5,231,761 × 5,231,761
  4. Step 4: Simplify right side
    2,429,044x = 27,371,323,161,121
  5. Step 5: Solve for x
    x = 27,371,323,161,121/2,429,044
  6. Step 6: Final answer
    x = 11,268,352.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.