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Finding the Third Proportional to 675,828 and 1,463,188

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Solution

The third proportional to 675,828 and 1,463,188 is: 3,167,846.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,828 : 1,463,188 = 1,463,188 : x
  2. Step 2: Convert to fraction form
    675,828/1,463,188 = 1,463,188/x
  3. Step 3: Cross multiply
    675,828x = 1,463,188 × 1,463,188
  4. Step 4: Simplify right side
    675,828x = 2,140,919,123,344
  5. Step 5: Solve for x
    x = 2,140,919,123,344/675,828
  6. Step 6: Final answer
    x = 3,167,846.14

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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.