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Finding the Third Proportional to 688,395 and 1,491,200

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Solution

The third proportional to 688,395 and 1,491,200 is: 3,230,234.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,395 : 1,491,200 = 1,491,200 : x
  2. Step 2: Convert to fraction form
    688,395/1,491,200 = 1,491,200/x
  3. Step 3: Cross multiply
    688,395x = 1,491,200 × 1,491,200
  4. Step 4: Simplify right side
    688,395x = 2,223,677,440,000
  5. Step 5: Solve for x
    x = 2,223,677,440,000/688,395
  6. Step 6: Final answer
    x = 3,230,234.73

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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.