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Finding the Third Proportional to 967,571 and 1,451,721

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Solution

The third proportional to 967,571 and 1,451,721 is: 2,178,128.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    967,571 : 1,451,721 = 1,451,721 : x
  2. Step 2: Convert to fraction form
    967,571/1,451,721 = 1,451,721/x
  3. Step 3: Cross multiply
    967,571x = 1,451,721 × 1,451,721
  4. Step 4: Simplify right side
    967,571x = 2,107,493,861,841
  5. Step 5: Solve for x
    x = 2,107,493,861,841/967,571
  6. Step 6: Final answer
    x = 2,178,128.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.