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Finding the Third Proportional to 555,147 and 1,194,493

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Solution

The third proportional to 555,147 and 1,194,493 is: 2,570,154.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,147 : 1,194,493 = 1,194,493 : x
  2. Step 2: Convert to fraction form
    555,147/1,194,493 = 1,194,493/x
  3. Step 3: Cross multiply
    555,147x = 1,194,493 × 1,194,493
  4. Step 4: Simplify right side
    555,147x = 1,426,813,527,049
  5. Step 5: Solve for x
    x = 1,426,813,527,049/555,147
  6. Step 6: Final answer
    x = 2,570,154.44

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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.