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Finding the Third Proportional to 447,734 and 967,638

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Solution

The third proportional to 447,734 and 967,638 is: 2,091,249.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,734 : 967,638 = 967,638 : x
  2. Step 2: Convert to fraction form
    447,734/967,638 = 967,638/x
  3. Step 3: Cross multiply
    447,734x = 967,638 × 967,638
  4. Step 4: Simplify right side
    447,734x = 936,323,299,044
  5. Step 5: Solve for x
    x = 936,323,299,044/447,734
  6. Step 6: Final answer
    x = 2,091,249.04

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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.