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Finding the Third Proportional to 809,846 and 1,257,213

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Solution

The third proportional to 809,846 and 1,257,213 is: 1,951,709.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,846 : 1,257,213 = 1,257,213 : x
  2. Step 2: Convert to fraction form
    809,846/1,257,213 = 1,257,213/x
  3. Step 3: Cross multiply
    809,846x = 1,257,213 × 1,257,213
  4. Step 4: Simplify right side
    809,846x = 1,580,584,527,369
  5. Step 5: Solve for x
    x = 1,580,584,527,369/809,846
  6. Step 6: Final answer
    x = 1,951,709.99

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