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Finding the Third Proportional to 2,553,410.25 and 3,959,148.38

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Solution

The third proportional to 2,553,410.25 and 3,959,148.38 is: 6,138,792.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553,410.25 : 3,959,148.38 = 3,959,148.38 : x
  2. Step 2: Convert to fraction form
    2,553,410.25/3,959,148.38 = 3,959,148.38/x
  3. Step 3: Cross multiply
    2,553,410.25x = 3,959,148.38 × 3,959,148.38
  4. Step 4: Simplify right side
    2,553,410.25x = 15,674,855,855,265.14
  5. Step 5: Solve for x
    x = 15,674,855,855,265.14/2,553,410.25
  6. Step 6: Final answer
    x = 6,138,792.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.