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Finding the Third Proportional to 417,863 and 902,226

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Solution

The third proportional to 417,863 and 902,226 is: 1,948,035.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,863 : 902,226 = 902,226 : x
  2. Step 2: Convert to fraction form
    417,863/902,226 = 902,226/x
  3. Step 3: Cross multiply
    417,863x = 902,226 × 902,226
  4. Step 4: Simplify right side
    417,863x = 814,011,755,076
  5. Step 5: Solve for x
    x = 814,011,755,076/417,863
  6. Step 6: Final answer
    x = 1,948,035.01

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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.