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Finding the Third Proportional to 1,741,198 and 2,465,997

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Solution

The third proportional to 1,741,198 and 2,465,997 is: 3,492,504.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741,198 : 2,465,997 = 2,465,997 : x
  2. Step 2: Convert to fraction form
    1,741,198/2,465,997 = 2,465,997/x
  3. Step 3: Cross multiply
    1,741,198x = 2,465,997 × 2,465,997
  4. Step 4: Simplify right side
    1,741,198x = 6,081,141,204,009
  5. Step 5: Solve for x
    x = 6,081,141,204,009/1,741,198
  6. Step 6: Final answer
    x = 3,492,504.13

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.