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Finding the Third Proportional to 391,977 and 858,681

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Solution

The third proportional to 391,977 and 858,681 is: 1,881,062.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,977 : 858,681 = 858,681 : x
  2. Step 2: Convert to fraction form
    391,977/858,681 = 858,681/x
  3. Step 3: Cross multiply
    391,977x = 858,681 × 858,681
  4. Step 4: Simplify right side
    391,977x = 737,333,059,761
  5. Step 5: Solve for x
    x = 737,333,059,761/391,977
  6. Step 6: Final answer
    x = 1,881,062.05

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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.