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Finding the Third Proportional to 819,126 and 1,282,196

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Solution

The third proportional to 819,126 and 1,282,196 is: 2,007,049.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,126 : 1,282,196 = 1,282,196 : x
  2. Step 2: Convert to fraction form
    819,126/1,282,196 = 1,282,196/x
  3. Step 3: Cross multiply
    819,126x = 1,282,196 × 1,282,196
  4. Step 4: Simplify right side
    819,126x = 1,644,026,582,416
  5. Step 5: Solve for x
    x = 1,644,026,582,416/819,126
  6. Step 6: Final answer
    x = 2,007,049.69

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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.