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Finding the Third Proportional to 516,678 and 1,135,200

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Solution

The third proportional to 516,678 and 1,135,200 is: 2,494,162.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,678 : 1,135,200 = 1,135,200 : x
  2. Step 2: Convert to fraction form
    516,678/1,135,200 = 1,135,200/x
  3. Step 3: Cross multiply
    516,678x = 1,135,200 × 1,135,200
  4. Step 4: Simplify right side
    516,678x = 1,288,679,040,000
  5. Step 5: Solve for x
    x = 1,288,679,040,000/516,678
  6. Step 6: Final answer
    x = 2,494,162.79

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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.