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Finding the Third Proportional to 447,626 and 966,744

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Solution

The third proportional to 447,626 and 966,744 is: 2,087,890.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,626 : 966,744 = 966,744 : x
  2. Step 2: Convert to fraction form
    447,626/966,744 = 966,744/x
  3. Step 3: Cross multiply
    447,626x = 966,744 × 966,744
  4. Step 4: Simplify right side
    447,626x = 934,593,961,536
  5. Step 5: Solve for x
    x = 934,593,961,536/447,626
  6. Step 6: Final answer
    x = 2,087,890.25

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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.