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Finding the Third Proportional to 1,121,912 and 2,414,896

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Solution

The third proportional to 1,121,912 and 2,414,896 is: 5,198,021.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121,912 : 2,414,896 = 2,414,896 : x
  2. Step 2: Convert to fraction form
    1,121,912/2,414,896 = 2,414,896/x
  3. Step 3: Cross multiply
    1,121,912x = 2,414,896 × 2,414,896
  4. Step 4: Simplify right side
    1,121,912x = 5,831,722,690,816
  5. Step 5: Solve for x
    x = 5,831,722,690,816/1,121,912
  6. Step 6: Final answer
    x = 5,198,021.49

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.