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Finding the Third Proportional to 417,873 and 902,244

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Solution

The third proportional to 417,873 and 902,244 is: 1,948,066.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,873 : 902,244 = 902,244 : x
  2. Step 2: Convert to fraction form
    417,873/902,244 = 902,244/x
  3. Step 3: Cross multiply
    417,873x = 902,244 × 902,244
  4. Step 4: Simplify right side
    417,873x = 814,044,235,536
  5. Step 5: Solve for x
    x = 814,044,235,536/417,873
  6. Step 6: Final answer
    x = 1,948,066.12

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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.