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Finding the Third Proportional to 467,787 and 967,665

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Solution

The third proportional to 467,787 and 967,665 is: 2,001,713.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,787 : 967,665 = 967,665 : x
  2. Step 2: Convert to fraction form
    467,787/967,665 = 967,665/x
  3. Step 3: Cross multiply
    467,787x = 967,665 × 967,665
  4. Step 4: Simplify right side
    467,787x = 936,375,552,225
  5. Step 5: Solve for x
    x = 936,375,552,225/467,787
  6. Step 6: Final answer
    x = 2,001,713.50

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.