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Finding the Third Proportional to 512,650 and 1,101,188

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Solution

The third proportional to 512,650 and 1,101,188 is: 2,365,385.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,650 : 1,101,188 = 1,101,188 : x
  2. Step 2: Convert to fraction form
    512,650/1,101,188 = 1,101,188/x
  3. Step 3: Cross multiply
    512,650x = 1,101,188 × 1,101,188
  4. Step 4: Simplify right side
    512,650x = 1,212,615,011,344
  5. Step 5: Solve for x
    x = 1,212,615,011,344/512,650
  6. Step 6: Final answer
    x = 2,365,385.76

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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.