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Finding the Third Proportional to 417,877 and 902,252

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Solution

The third proportional to 417,877 and 902,252 is: 1,948,082.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,877 : 902,252 = 902,252 : x
  2. Step 2: Convert to fraction form
    417,877/902,252 = 902,252/x
  3. Step 3: Cross multiply
    417,877x = 902,252 × 902,252
  4. Step 4: Simplify right side
    417,877x = 814,058,671,504
  5. Step 5: Solve for x
    x = 814,058,671,504/417,877
  6. Step 6: Final answer
    x = 1,948,082.02

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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.