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Finding the Third Proportional to 391,971 and 858,675

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Solution

The third proportional to 391,971 and 858,675 is: 1,881,064.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,971 : 858,675 = 858,675 : x
  2. Step 2: Convert to fraction form
    391,971/858,675 = 858,675/x
  3. Step 3: Cross multiply
    391,971x = 858,675 × 858,675
  4. Step 4: Simplify right side
    391,971x = 737,322,755,625
  5. Step 5: Solve for x
    x = 737,322,755,625/391,971
  6. Step 6: Final answer
    x = 1,881,064.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.