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Finding the Third Proportional to 543,864 and 1,195,404

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Solution

The third proportional to 543,864 and 1,195,404 is: 2,627,478.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,864 : 1,195,404 = 1,195,404 : x
  2. Step 2: Convert to fraction form
    543,864/1,195,404 = 1,195,404/x
  3. Step 3: Cross multiply
    543,864x = 1,195,404 × 1,195,404
  4. Step 4: Simplify right side
    543,864x = 1,428,990,723,216
  5. Step 5: Solve for x
    x = 1,428,990,723,216/543,864
  6. Step 6: Final answer
    x = 2,627,478.05

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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.