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Finding the Third Proportional to 507,942 and 1,115,568

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Solution

The third proportional to 507,942 and 1,115,568 is: 2,450,067.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,942 : 1,115,568 = 1,115,568 : x
  2. Step 2: Convert to fraction form
    507,942/1,115,568 = 1,115,568/x
  3. Step 3: Cross multiply
    507,942x = 1,115,568 × 1,115,568
  4. Step 4: Simplify right side
    507,942x = 1,244,491,962,624
  5. Step 5: Solve for x
    x = 1,244,491,962,624/507,942
  6. Step 6: Final answer
    x = 2,450,067.06

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.