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Finding the Third Proportional to 447,986 and 967,234

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Solution

The third proportional to 447,986 and 967,234 is: 2,088,327.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,986 : 967,234 = 967,234 : x
  2. Step 2: Convert to fraction form
    447,986/967,234 = 967,234/x
  3. Step 3: Cross multiply
    447,986x = 967,234 × 967,234
  4. Step 4: Simplify right side
    447,986x = 935,541,610,756
  5. Step 5: Solve for x
    x = 935,541,610,756/447,986
  6. Step 6: Final answer
    x = 2,088,327.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.