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Finding the Third Proportional to 393,782 and 858,837

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Solution

The third proportional to 393,782 and 858,837 is: 1,873,120.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,782 : 858,837 = 858,837 : x
  2. Step 2: Convert to fraction form
    393,782/858,837 = 858,837/x
  3. Step 3: Cross multiply
    393,782x = 858,837 × 858,837
  4. Step 4: Simplify right side
    393,782x = 737,600,992,569
  5. Step 5: Solve for x
    x = 737,600,992,569/393,782
  6. Step 6: Final answer
    x = 1,873,120.13

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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.