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Finding the Third Proportional to 667,423.13 and 1,382,163.75

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Solution

The third proportional to 667,423.13 and 1,382,163.75 is: 2,862,317.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,423.13 : 1,382,163.75 = 1,382,163.75 : x
  2. Step 2: Convert to fraction form
    667,423.13/1,382,163.75 = 1,382,163.75/x
  3. Step 3: Cross multiply
    667,423.13x = 1,382,163.75 × 1,382,163.75
  4. Step 4: Simplify right side
    667,423.13x = 1,910,376,631,814.06
  5. Step 5: Solve for x
    x = 1,910,376,631,814.06/667,423.13
  6. Step 6: Final answer
    x = 2,862,317.11

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.