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Finding the Third Proportional to 512,877 and 1,116,059

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Solution

The third proportional to 512,877 and 1,116,059 is: 2,428,628.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,877 : 1,116,059 = 1,116,059 : x
  2. Step 2: Convert to fraction form
    512,877/1,116,059 = 1,116,059/x
  3. Step 3: Cross multiply
    512,877x = 1,116,059 × 1,116,059
  4. Step 4: Simplify right side
    512,877x = 1,245,587,691,481
  5. Step 5: Solve for x
    x = 1,245,587,691,481/512,877
  6. Step 6: Final answer
    x = 2,428,628.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.