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Finding the Third Proportional to 512,469 and 1,095,876

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Solution

The third proportional to 512,469 and 1,095,876 is: 2,343,447.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,469 : 1,095,876 = 1,095,876 : x
  2. Step 2: Convert to fraction form
    512,469/1,095,876 = 1,095,876/x
  3. Step 3: Cross multiply
    512,469x = 1,095,876 × 1,095,876
  4. Step 4: Simplify right side
    512,469x = 1,200,944,207,376
  5. Step 5: Solve for x
    x = 1,200,944,207,376/512,469
  6. Step 6: Final answer
    x = 2,343,447.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.