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Finding the Third Proportional to 1,117,834 and 1,580,198

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Solution

The third proportional to 1,117,834 and 1,580,198 is: 2,233,807.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117,834 : 1,580,198 = 1,580,198 : x
  2. Step 2: Convert to fraction form
    1,117,834/1,580,198 = 1,580,198/x
  3. Step 3: Cross multiply
    1,117,834x = 1,580,198 × 1,580,198
  4. Step 4: Simplify right side
    1,117,834x = 2,497,025,719,204
  5. Step 5: Solve for x
    x = 2,497,025,719,204/1,117,834
  6. Step 6: Final answer
    x = 2,233,807.27

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.