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Finding the Third Proportional to 593,147 and 919,214

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Solution

The third proportional to 593,147 and 919,214 is: 1,424,527.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,147 : 919,214 = 919,214 : x
  2. Step 2: Convert to fraction form
    593,147/919,214 = 919,214/x
  3. Step 3: Cross multiply
    593,147x = 919,214 × 919,214
  4. Step 4: Simplify right side
    593,147x = 844,954,377,796
  5. Step 5: Solve for x
    x = 844,954,377,796/593,147
  6. Step 6: Final answer
    x = 1,424,527.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.