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Finding the Third Proportional to 393,791 and 858,851

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Solution

The third proportional to 393,791 and 858,851 is: 1,873,138.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,791 : 858,851 = 858,851 : x
  2. Step 2: Convert to fraction form
    393,791/858,851 = 858,851/x
  3. Step 3: Cross multiply
    393,791x = 858,851 × 858,851
  4. Step 4: Simplify right side
    393,791x = 737,625,040,201
  5. Step 5: Solve for x
    x = 737,625,040,201/393,791
  6. Step 6: Final answer
    x = 1,873,138.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.