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Finding the Third Proportional to 819,168 and 1,282,212

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Solution

The third proportional to 819,168 and 1,282,212 is: 2,006,996.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,168 : 1,282,212 = 1,282,212 : x
  2. Step 2: Convert to fraction form
    819,168/1,282,212 = 1,282,212/x
  3. Step 3: Cross multiply
    819,168x = 1,282,212 × 1,282,212
  4. Step 4: Simplify right side
    819,168x = 1,644,067,612,944
  5. Step 5: Solve for x
    x = 1,644,067,612,944/819,168
  6. Step 6: Final answer
    x = 2,006,996.87

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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.