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Finding the Third Proportional to 465,941 and 1,008,049

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Solution

The third proportional to 465,941 and 1,008,049 is: 2,180,882.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,941 : 1,008,049 = 1,008,049 : x
  2. Step 2: Convert to fraction form
    465,941/1,008,049 = 1,008,049/x
  3. Step 3: Cross multiply
    465,941x = 1,008,049 × 1,008,049
  4. Step 4: Simplify right side
    465,941x = 1,016,162,786,401
  5. Step 5: Solve for x
    x = 1,016,162,786,401/465,941
  6. Step 6: Final answer
    x = 2,180,882.96

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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.