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Finding the Third Proportional to 723,611 and 1,527,493

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Solution

The third proportional to 723,611 and 1,527,493 is: 3,224,432.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,611 : 1,527,493 = 1,527,493 : x
  2. Step 2: Convert to fraction form
    723,611/1,527,493 = 1,527,493/x
  3. Step 3: Cross multiply
    723,611x = 1,527,493 × 1,527,493
  4. Step 4: Simplify right side
    723,611x = 2,333,234,865,049
  5. Step 5: Solve for x
    x = 2,333,234,865,049/723,611
  6. Step 6: Final answer
    x = 3,224,432.55

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Why These Related Problems?

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