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Finding the Third Proportional to 447,086 and 970,384

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Solution

The third proportional to 447,086 and 970,384 is: 2,106,183.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,086 : 970,384 = 970,384 : x
  2. Step 2: Convert to fraction form
    447,086/970,384 = 970,384/x
  3. Step 3: Cross multiply
    447,086x = 970,384 × 970,384
  4. Step 4: Simplify right side
    447,086x = 941,645,107,456
  5. Step 5: Solve for x
    x = 941,645,107,456/447,086
  6. Step 6: Final answer
    x = 2,106,183.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.