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Finding the Third Proportional to 591,689 and 1,278,000

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Solution

The third proportional to 591,689 and 1,278,000 is: 2,760,375.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,689 : 1,278,000 = 1,278,000 : x
  2. Step 2: Convert to fraction form
    591,689/1,278,000 = 1,278,000/x
  3. Step 3: Cross multiply
    591,689x = 1,278,000 × 1,278,000
  4. Step 4: Simplify right side
    591,689x = 1,633,284,000,000
  5. Step 5: Solve for x
    x = 1,633,284,000,000/591,689
  6. Step 6: Final answer
    x = 2,760,375.81

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.