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Finding the Third Proportional to 391,973 and 858,679

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Solution

The third proportional to 391,973 and 858,679 is: 1,881,072.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,973 : 858,679 = 858,679 : x
  2. Step 2: Convert to fraction form
    391,973/858,679 = 858,679/x
  3. Step 3: Cross multiply
    391,973x = 858,679 × 858,679
  4. Step 4: Simplify right side
    391,973x = 737,329,625,041
  5. Step 5: Solve for x
    x = 737,329,625,041/391,973
  6. Step 6: Final answer
    x = 1,881,072.48

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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.