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Finding the Third Proportional to 871,928 and 1,330,493

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Solution

The third proportional to 871,928 and 1,330,493 is: 2,030,226.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,928 : 1,330,493 = 1,330,493 : x
  2. Step 2: Convert to fraction form
    871,928/1,330,493 = 1,330,493/x
  3. Step 3: Cross multiply
    871,928x = 1,330,493 × 1,330,493
  4. Step 4: Simplify right side
    871,928x = 1,770,211,623,049
  5. Step 5: Solve for x
    x = 1,770,211,623,049/871,928
  6. Step 6: Final answer
    x = 2,030,226.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.