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Finding the Third Proportional to 800,624 and 1,741,216

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Solution

The third proportional to 800,624 and 1,741,216 is: 3,786,837.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,624 : 1,741,216 = 1,741,216 : x
  2. Step 2: Convert to fraction form
    800,624/1,741,216 = 1,741,216/x
  3. Step 3: Cross multiply
    800,624x = 1,741,216 × 1,741,216
  4. Step 4: Simplify right side
    800,624x = 3,031,833,158,656
  5. Step 5: Solve for x
    x = 3,031,833,158,656/800,624
  6. Step 6: Final answer
    x = 3,786,837.71

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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.