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Finding the Third Proportional to 412,227 and 894,942

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Solution

The third proportional to 412,227 and 894,942 is: 1,942,912.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,227 : 894,942 = 894,942 : x
  2. Step 2: Convert to fraction form
    412,227/894,942 = 894,942/x
  3. Step 3: Cross multiply
    412,227x = 894,942 × 894,942
  4. Step 4: Simplify right side
    412,227x = 800,921,183,364
  5. Step 5: Solve for x
    x = 800,921,183,364/412,227
  6. Step 6: Final answer
    x = 1,942,912.97

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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.