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Finding the Third Proportional to 522,397 and 1,131,741

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Solution

The third proportional to 522,397 and 1,131,741 is: 2,451,847.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,397 : 1,131,741 = 1,131,741 : x
  2. Step 2: Convert to fraction form
    522,397/1,131,741 = 1,131,741/x
  3. Step 3: Cross multiply
    522,397x = 1,131,741 × 1,131,741
  4. Step 4: Simplify right side
    522,397x = 1,280,837,691,081
  5. Step 5: Solve for x
    x = 1,280,837,691,081/522,397
  6. Step 6: Final answer
    x = 2,451,847.33

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.