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Finding the Third Proportional to 512,682 and 1,104,250

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Solution

The third proportional to 512,682 and 1,104,250 is: 2,378,410.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,682 : 1,104,250 = 1,104,250 : x
  2. Step 2: Convert to fraction form
    512,682/1,104,250 = 1,104,250/x
  3. Step 3: Cross multiply
    512,682x = 1,104,250 × 1,104,250
  4. Step 4: Simplify right side
    512,682x = 1,219,368,062,500
  5. Step 5: Solve for x
    x = 1,219,368,062,500/512,682
  6. Step 6: Final answer
    x = 2,378,410.13

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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.