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Finding the Third Proportional to 457,812 and 994,436

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Solution

The third proportional to 457,812 and 994,436 is: 2,160,063.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,812 : 994,436 = 994,436 : x
  2. Step 2: Convert to fraction form
    457,812/994,436 = 994,436/x
  3. Step 3: Cross multiply
    457,812x = 994,436 × 994,436
  4. Step 4: Simplify right side
    457,812x = 988,902,958,096
  5. Step 5: Solve for x
    x = 988,902,958,096/457,812
  6. Step 6: Final answer
    x = 2,160,063.43

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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.