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Finding the Third Proportional to 591,399 and 926,517

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Solution

The third proportional to 591,399 and 926,517 is: 1,451,530.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,399 : 926,517 = 926,517 : x
  2. Step 2: Convert to fraction form
    591,399/926,517 = 926,517/x
  3. Step 3: Cross multiply
    591,399x = 926,517 × 926,517
  4. Step 4: Simplify right side
    591,399x = 858,433,751,289
  5. Step 5: Solve for x
    x = 858,433,751,289/591,399
  6. Step 6: Final answer
    x = 1,451,530.61

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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.