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Finding the Third Proportional to 512,836.31 and 1,100,440.69

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Solution

The third proportional to 512,836.31 and 1,100,440.69 is: 2,361,318.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,836.31 : 1,100,440.69 = 1,100,440.69 : x
  2. Step 2: Convert to fraction form
    512,836.31/1,100,440.69 = 1,100,440.69/x
  3. Step 3: Cross multiply
    512,836.31x = 1,100,440.69 × 1,100,440.69
  4. Step 4: Simplify right side
    512,836.31x = 1,210,969,706,705.47
  5. Step 5: Solve for x
    x = 1,210,969,706,705.47/512,836.31
  6. Step 6: Final answer
    x = 2,361,318.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.