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Finding the Third Proportional to 437,872 and 941,228

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Solution

The third proportional to 437,872 and 941,228 is: 2,023,217.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,872 : 941,228 = 941,228 : x
  2. Step 2: Convert to fraction form
    437,872/941,228 = 941,228/x
  3. Step 3: Cross multiply
    437,872x = 941,228 × 941,228
  4. Step 4: Simplify right side
    437,872x = 885,910,147,984
  5. Step 5: Solve for x
    x = 885,910,147,984/437,872
  6. Step 6: Final answer
    x = 2,023,217.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.