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Finding the Third Proportional to 412,192 and 868,665

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Solution

The third proportional to 412,192 and 868,665 is: 1,830,649.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,192 : 868,665 = 868,665 : x
  2. Step 2: Convert to fraction form
    412,192/868,665 = 868,665/x
  3. Step 3: Cross multiply
    412,192x = 868,665 × 868,665
  4. Step 4: Simplify right side
    412,192x = 754,578,882,225
  5. Step 5: Solve for x
    x = 754,578,882,225/412,192
  6. Step 6: Final answer
    x = 1,830,649.02

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.