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Finding the Third Proportional to 447,784 and 967,744

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Solution

The third proportional to 447,784 and 967,744 is: 2,091,473.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,784 : 967,744 = 967,744 : x
  2. Step 2: Convert to fraction form
    447,784/967,744 = 967,744/x
  3. Step 3: Cross multiply
    447,784x = 967,744 × 967,744
  4. Step 4: Simplify right side
    447,784x = 936,528,449,536
  5. Step 5: Solve for x
    x = 936,528,449,536/447,784
  6. Step 6: Final answer
    x = 2,091,473.68

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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.