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Finding the Third Proportional to 476,766 and 992,736

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Solution

The third proportional to 476,766 and 992,736 is: 2,067,103.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,766 : 992,736 = 992,736 : x
  2. Step 2: Convert to fraction form
    476,766/992,736 = 992,736/x
  3. Step 3: Cross multiply
    476,766x = 992,736 × 992,736
  4. Step 4: Simplify right side
    476,766x = 985,524,765,696
  5. Step 5: Solve for x
    x = 985,524,765,696/476,766
  6. Step 6: Final answer
    x = 2,067,103.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.