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Finding the Third Proportional to 2,161,198 and 4,702,940

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Solution

The third proportional to 2,161,198 and 4,702,940 is: 10,233,974.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161,198 : 4,702,940 = 4,702,940 : x
  2. Step 2: Convert to fraction form
    2,161,198/4,702,940 = 4,702,940/x
  3. Step 3: Cross multiply
    2,161,198x = 4,702,940 × 4,702,940
  4. Step 4: Simplify right side
    2,161,198x = 22,117,644,643,600
  5. Step 5: Solve for x
    x = 22,117,644,643,600/2,161,198
  6. Step 6: Final answer
    x = 10,233,974.23

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.