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Finding the Third Proportional to 516,831 and 1,096,276

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Solution

The third proportional to 516,831 and 1,096,276 is: 2,325,365.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,831 : 1,096,276 = 1,096,276 : x
  2. Step 2: Convert to fraction form
    516,831/1,096,276 = 1,096,276/x
  3. Step 3: Cross multiply
    516,831x = 1,096,276 × 1,096,276
  4. Step 4: Simplify right side
    516,831x = 1,201,821,068,176
  5. Step 5: Solve for x
    x = 1,201,821,068,176/516,831
  6. Step 6: Final answer
    x = 2,325,365.68

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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.