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Finding the Third Proportional to 437,870 and 941,217

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Solution

The third proportional to 437,870 and 941,217 is: 2,023,179.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,870 : 941,217 = 941,217 : x
  2. Step 2: Convert to fraction form
    437,870/941,217 = 941,217/x
  3. Step 3: Cross multiply
    437,870x = 941,217 × 941,217
  4. Step 4: Simplify right side
    437,870x = 885,889,441,089
  5. Step 5: Solve for x
    x = 885,889,441,089/437,870
  6. Step 6: Final answer
    x = 2,023,179.12

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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.