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Finding the Third Proportional to 1,972,948 and 2,954,022

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Solution

The third proportional to 1,972,948 and 2,954,022 is: 4,422,947.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972,948 : 2,954,022 = 2,954,022 : x
  2. Step 2: Convert to fraction form
    1,972,948/2,954,022 = 2,954,022/x
  3. Step 3: Cross multiply
    1,972,948x = 2,954,022 × 2,954,022
  4. Step 4: Simplify right side
    1,972,948x = 8,726,245,976,484
  5. Step 5: Solve for x
    x = 8,726,245,976,484/1,972,948
  6. Step 6: Final answer
    x = 4,422,947.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.