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Finding the Third Proportional to 1,972,944 and 2,954,016

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Solution

The third proportional to 1,972,944 and 2,954,016 is: 4,422,938.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972,944 : 2,954,016 = 2,954,016 : x
  2. Step 2: Convert to fraction form
    1,972,944/2,954,016 = 2,954,016/x
  3. Step 3: Cross multiply
    1,972,944x = 2,954,016 × 2,954,016
  4. Step 4: Simplify right side
    1,972,944x = 8,726,210,528,256
  5. Step 5: Solve for x
    x = 8,726,210,528,256/1,972,944
  6. Step 6: Final answer
    x = 4,422,938.78

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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.