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Finding the Third Proportional to 591,381 and 926,481.38

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Solution

The third proportional to 591,381 and 926,481.38 is: 1,451,463.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,381 : 926,481.38 = 926,481.38 : x
  2. Step 2: Convert to fraction form
    591,381/926,481.38 = 926,481.38/x
  3. Step 3: Cross multiply
    591,381x = 926,481.38 × 926,481.38
  4. Step 4: Simplify right side
    591,381x = 858,367,738,221.89
  5. Step 5: Solve for x
    x = 858,367,738,221.89/591,381
  6. Step 6: Final answer
    x = 1,451,463.17

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