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Finding the Third Proportional to 843,744 and 1,820,096

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Solution

The third proportional to 843,744 and 1,820,096 is: 3,926,249.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,744 : 1,820,096 = 1,820,096 : x
  2. Step 2: Convert to fraction form
    843,744/1,820,096 = 1,820,096/x
  3. Step 3: Cross multiply
    843,744x = 1,820,096 × 1,820,096
  4. Step 4: Simplify right side
    843,744x = 3,312,749,449,216
  5. Step 5: Solve for x
    x = 3,312,749,449,216/843,744
  6. Step 6: Final answer
    x = 3,926,249.49

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.