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Finding the Third Proportional to 516,840 and 1,096,288

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Solution

The third proportional to 516,840 and 1,096,288 is: 2,325,376.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,840 : 1,096,288 = 1,096,288 : x
  2. Step 2: Convert to fraction form
    516,840/1,096,288 = 1,096,288/x
  3. Step 3: Cross multiply
    516,840x = 1,096,288 × 1,096,288
  4. Step 4: Simplify right side
    516,840x = 1,201,847,378,944
  5. Step 5: Solve for x
    x = 1,201,847,378,944/516,840
  6. Step 6: Final answer
    x = 2,325,376.09

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.