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Finding the Third Proportional to 809,934 and 1,257,348

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Solution

The third proportional to 809,934 and 1,257,348 is: 1,951,917.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,934 : 1,257,348 = 1,257,348 : x
  2. Step 2: Convert to fraction form
    809,934/1,257,348 = 1,257,348/x
  3. Step 3: Cross multiply
    809,934x = 1,257,348 × 1,257,348
  4. Step 4: Simplify right side
    809,934x = 1,580,923,993,104
  5. Step 5: Solve for x
    x = 1,580,923,993,104/809,934
  6. Step 6: Final answer
    x = 1,951,917.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.