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Finding the Third Proportional to 476,769 and 992,742

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Solution

The third proportional to 476,769 and 992,742 is: 2,067,115.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,769 : 992,742 = 992,742 : x
  2. Step 2: Convert to fraction form
    476,769/992,742 = 992,742/x
  3. Step 3: Cross multiply
    476,769x = 992,742 × 992,742
  4. Step 4: Simplify right side
    476,769x = 985,536,678,564
  5. Step 5: Solve for x
    x = 985,536,678,564/476,769
  6. Step 6: Final answer
    x = 2,067,115.69

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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.