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Finding the Third Proportional to 512,691 and 1,104,269

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Solution

The third proportional to 512,691 and 1,104,269 is: 2,378,450.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,691 : 1,104,269 = 1,104,269 : x
  2. Step 2: Convert to fraction form
    512,691/1,104,269 = 1,104,269/x
  3. Step 3: Cross multiply
    512,691x = 1,104,269 × 1,104,269
  4. Step 4: Simplify right side
    512,691x = 1,219,410,024,361
  5. Step 5: Solve for x
    x = 1,219,410,024,361/512,691
  6. Step 6: Final answer
    x = 2,378,450.23

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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.