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Finding the Third Proportional to 512,712 and 1,104,279

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Solution

The third proportional to 512,712 and 1,104,279 is: 2,378,395.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,712 : 1,104,279 = 1,104,279 : x
  2. Step 2: Convert to fraction form
    512,712/1,104,279 = 1,104,279/x
  3. Step 3: Cross multiply
    512,712x = 1,104,279 × 1,104,279
  4. Step 4: Simplify right side
    512,712x = 1,219,432,109,841
  5. Step 5: Solve for x
    x = 1,219,432,109,841/512,712
  6. Step 6: Final answer
    x = 2,378,395.88

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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.