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Finding the Third Proportional to 355,638 and 839,496

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Solution

The third proportional to 355,638 and 839,496 is: 1,981,659.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,638 : 839,496 = 839,496 : x
  2. Step 2: Convert to fraction form
    355,638/839,496 = 839,496/x
  3. Step 3: Cross multiply
    355,638x = 839,496 × 839,496
  4. Step 4: Simplify right side
    355,638x = 704,753,534,016
  5. Step 5: Solve for x
    x = 704,753,534,016/355,638
  6. Step 6: Final answer
    x = 1,981,659.82

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.