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Finding the Third Proportional to 2,428,137 and 5,245,317

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Solution

The third proportional to 2,428,137 and 5,245,317 is: 11,331,053.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428,137 : 5,245,317 = 5,245,317 : x
  2. Step 2: Convert to fraction form
    2,428,137/5,245,317 = 5,245,317/x
  3. Step 3: Cross multiply
    2,428,137x = 5,245,317 × 5,245,317
  4. Step 4: Simplify right side
    2,428,137x = 27,513,350,430,489
  5. Step 5: Solve for x
    x = 27,513,350,430,489/2,428,137
  6. Step 6: Final answer
    x = 11,331,053.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.