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Finding the Third Proportional to 819,125 and 1,282,193

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Solution

The third proportional to 819,125 and 1,282,193 is: 2,007,042.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,125 : 1,282,193 = 1,282,193 : x
  2. Step 2: Convert to fraction form
    819,125/1,282,193 = 1,282,193/x
  3. Step 3: Cross multiply
    819,125x = 1,282,193 × 1,282,193
  4. Step 4: Simplify right side
    819,125x = 1,644,018,889,249
  5. Step 5: Solve for x
    x = 1,644,018,889,249/819,125
  6. Step 6: Final answer
    x = 2,007,042.75

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.