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Finding the Third Proportional to 414,331 and 902,468

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Solution

The third proportional to 414,331 and 902,468 is: 1,965,695.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,331 : 902,468 = 902,468 : x
  2. Step 2: Convert to fraction form
    414,331/902,468 = 902,468/x
  3. Step 3: Cross multiply
    414,331x = 902,468 × 902,468
  4. Step 4: Simplify right side
    414,331x = 814,448,491,024
  5. Step 5: Solve for x
    x = 814,448,491,024/414,331
  6. Step 6: Final answer
    x = 1,965,695.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.