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Finding the Third Proportional to 809,848 and 1,257,216

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Solution

The third proportional to 809,848 and 1,257,216 is: 1,951,714.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,848 : 1,257,216 = 1,257,216 : x
  2. Step 2: Convert to fraction form
    809,848/1,257,216 = 1,257,216/x
  3. Step 3: Cross multiply
    809,848x = 1,257,216 × 1,257,216
  4. Step 4: Simplify right side
    809,848x = 1,580,592,070,656
  5. Step 5: Solve for x
    x = 1,580,592,070,656/809,848
  6. Step 6: Final answer
    x = 1,951,714.48

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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.