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Finding the Third Proportional to 393,790 and 858,849

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Solution

The third proportional to 393,790 and 858,849 is: 1,873,134.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,790 : 858,849 = 858,849 : x
  2. Step 2: Convert to fraction form
    393,790/858,849 = 858,849/x
  3. Step 3: Cross multiply
    393,790x = 858,849 × 858,849
  4. Step 4: Simplify right side
    393,790x = 737,621,604,801
  5. Step 5: Solve for x
    x = 737,621,604,801/393,790
  6. Step 6: Final answer
    x = 1,873,134.42

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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.