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Finding the Third Proportional to 966,192 and 1,419,744

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Solution

The third proportional to 966,192 and 1,419,744 is: 2,086,203.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,192 : 1,419,744 = 1,419,744 : x
  2. Step 2: Convert to fraction form
    966,192/1,419,744 = 1,419,744/x
  3. Step 3: Cross multiply
    966,192x = 1,419,744 × 1,419,744
  4. Step 4: Simplify right side
    966,192x = 2,015,673,025,536
  5. Step 5: Solve for x
    x = 2,015,673,025,536/966,192
  6. Step 6: Final answer
    x = 2,086,203.39

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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.