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Finding the Third Proportional to 819,098 and 1,282,124

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Solution

The third proportional to 819,098 and 1,282,124 is: 2,006,892.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,098 : 1,282,124 = 1,282,124 : x
  2. Step 2: Convert to fraction form
    819,098/1,282,124 = 1,282,124/x
  3. Step 3: Cross multiply
    819,098x = 1,282,124 × 1,282,124
  4. Step 4: Simplify right side
    819,098x = 1,643,841,951,376
  5. Step 5: Solve for x
    x = 1,643,841,951,376/819,098
  6. Step 6: Final answer
    x = 2,006,892.89

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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.