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Finding the Third Proportional to 391,978 and 858,688

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Solution

The third proportional to 391,978 and 858,688 is: 1,881,087.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,978 : 858,688 = 858,688 : x
  2. Step 2: Convert to fraction form
    391,978/858,688 = 858,688/x
  3. Step 3: Cross multiply
    391,978x = 858,688 × 858,688
  4. Step 4: Simplify right side
    391,978x = 737,345,081,344
  5. Step 5: Solve for x
    x = 737,345,081,344/391,978
  6. Step 6: Final answer
    x = 1,881,087.92

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