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Finding the Third Proportional to 966,279 and 1,419,894

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Solution

The third proportional to 966,279 and 1,419,894 is: 2,086,456.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,279 : 1,419,894 = 1,419,894 : x
  2. Step 2: Convert to fraction form
    966,279/1,419,894 = 1,419,894/x
  3. Step 3: Cross multiply
    966,279x = 1,419,894 × 1,419,894
  4. Step 4: Simplify right side
    966,279x = 2,016,098,971,236
  5. Step 5: Solve for x
    x = 2,016,098,971,236/966,279
  6. Step 6: Final answer
    x = 2,086,456.37

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.