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Finding the Third Proportional to 447,638 and 966,768

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Solution

The third proportional to 447,638 and 966,768 is: 2,087,937.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,638 : 966,768 = 966,768 : x
  2. Step 2: Convert to fraction form
    447,638/966,768 = 966,768/x
  3. Step 3: Cross multiply
    447,638x = 966,768 × 966,768
  4. Step 4: Simplify right side
    447,638x = 934,640,365,824
  5. Step 5: Solve for x
    x = 934,640,365,824/447,638
  6. Step 6: Final answer
    x = 2,087,937.95

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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.