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Finding the Third Proportional to 447,640 and 966,772

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Solution

The third proportional to 447,640 and 966,772 is: 2,087,945.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,640 : 966,772 = 966,772 : x
  2. Step 2: Convert to fraction form
    447,640/966,772 = 966,772/x
  3. Step 3: Cross multiply
    447,640x = 966,772 × 966,772
  4. Step 4: Simplify right side
    447,640x = 934,648,099,984
  5. Step 5: Solve for x
    x = 934,648,099,984/447,640
  6. Step 6: Final answer
    x = 2,087,945.89

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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.