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Finding the Third Proportional to 591,472 and 926,600

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Solution

The third proportional to 591,472 and 926,600 is: 1,451,611.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,472 : 926,600 = 926,600 : x
  2. Step 2: Convert to fraction form
    591,472/926,600 = 926,600/x
  3. Step 3: Cross multiply
    591,472x = 926,600 × 926,600
  4. Step 4: Simplify right side
    591,472x = 858,587,560,000
  5. Step 5: Solve for x
    x = 858,587,560,000/591,472
  6. Step 6: Final answer
    x = 1,451,611.50

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.