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Finding the Third Proportional to 2,305,191 and 3,703,824

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Solution

The third proportional to 2,305,191 and 3,703,824 is: 5,951,052.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305,191 : 3,703,824 = 3,703,824 : x
  2. Step 2: Convert to fraction form
    2,305,191/3,703,824 = 3,703,824/x
  3. Step 3: Cross multiply
    2,305,191x = 3,703,824 × 3,703,824
  4. Step 4: Simplify right side
    2,305,191x = 13,718,312,222,976
  5. Step 5: Solve for x
    x = 13,718,312,222,976/2,305,191
  6. Step 6: Final answer
    x = 5,951,052.31

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.