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Finding the Third Proportional to 476,770 and 992,744

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Solution

The third proportional to 476,770 and 992,744 is: 2,067,119.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,770 : 992,744 = 992,744 : x
  2. Step 2: Convert to fraction form
    476,770/992,744 = 992,744/x
  3. Step 3: Cross multiply
    476,770x = 992,744 × 992,744
  4. Step 4: Simplify right side
    476,770x = 985,540,649,536
  5. Step 5: Solve for x
    x = 985,540,649,536/476,770
  6. Step 6: Final answer
    x = 2,067,119.68

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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.