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Finding the Third Proportional to 809,846 and 1,257,214

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Solution

The third proportional to 809,846 and 1,257,214 is: 1,951,713.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,846 : 1,257,214 = 1,257,214 : x
  2. Step 2: Convert to fraction form
    809,846/1,257,214 = 1,257,214/x
  3. Step 3: Cross multiply
    809,846x = 1,257,214 × 1,257,214
  4. Step 4: Simplify right side
    809,846x = 1,580,587,041,796
  5. Step 5: Solve for x
    x = 1,580,587,041,796/809,846
  6. Step 6: Final answer
    x = 1,951,713.09

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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.