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Finding the Third Proportional to 393,786 and 858,846

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Solution

The third proportional to 393,786 and 858,846 is: 1,873,140.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,786 : 858,846 = 858,846 : x
  2. Step 2: Convert to fraction form
    393,786/858,846 = 858,846/x
  3. Step 3: Cross multiply
    393,786x = 858,846 × 858,846
  4. Step 4: Simplify right side
    393,786x = 737,616,451,716
  5. Step 5: Solve for x
    x = 737,616,451,716/393,786
  6. Step 6: Final answer
    x = 1,873,140.36

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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.