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Finding the Third Proportional to 418,305 and 858,857

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Solution

The third proportional to 418,305 and 858,857 is: 1,763,391.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,305 : 858,857 = 858,857 : x
  2. Step 2: Convert to fraction form
    418,305/858,857 = 858,857/x
  3. Step 3: Cross multiply
    418,305x = 858,857 × 858,857
  4. Step 4: Simplify right side
    418,305x = 737,635,346,449
  5. Step 5: Solve for x
    x = 737,635,346,449/418,305
  6. Step 6: Final answer
    x = 1,763,391.18

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.