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Finding the Third Proportional to 418,992 and 904,384

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Solution

The third proportional to 418,992 and 904,384 is: 1,952,090.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,992 : 904,384 = 904,384 : x
  2. Step 2: Convert to fraction form
    418,992/904,384 = 904,384/x
  3. Step 3: Cross multiply
    418,992x = 904,384 × 904,384
  4. Step 4: Simplify right side
    418,992x = 817,910,419,456
  5. Step 5: Solve for x
    x = 817,910,419,456/418,992
  6. Step 6: Final answer
    x = 1,952,090.78

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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.