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Finding the Third Proportional to 447,632 and 966,756

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Solution

The third proportional to 447,632 and 966,756 is: 2,087,914.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,632 : 966,756 = 966,756 : x
  2. Step 2: Convert to fraction form
    447,632/966,756 = 966,756/x
  3. Step 3: Cross multiply
    447,632x = 966,756 × 966,756
  4. Step 4: Simplify right side
    447,632x = 934,617,163,536
  5. Step 5: Solve for x
    x = 934,617,163,536/447,632
  6. Step 6: Final answer
    x = 2,087,914.10

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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.