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Finding the Third Proportional to 1,098,328 and 2,365,198

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Solution

The third proportional to 1,098,328 and 2,365,198 is: 5,093,343.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098,328 : 2,365,198 = 2,365,198 : x
  2. Step 2: Convert to fraction form
    1,098,328/2,365,198 = 2,365,198/x
  3. Step 3: Cross multiply
    1,098,328x = 2,365,198 × 2,365,198
  4. Step 4: Simplify right side
    1,098,328x = 5,594,161,579,204
  5. Step 5: Solve for x
    x = 5,594,161,579,204/1,098,328
  6. Step 6: Final answer
    x = 5,093,343.32

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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.