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Finding the Third Proportional to 541,917 and 843,895.13

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Solution

The third proportional to 541,917 and 843,895.13 is: 1,314,147.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,917 : 843,895.13 = 843,895.13 : x
  2. Step 2: Convert to fraction form
    541,917/843,895.13 = 843,895.13/x
  3. Step 3: Cross multiply
    541,917x = 843,895.13 × 843,895.13
  4. Step 4: Simplify right side
    541,917x = 712,158,981,998.77
  5. Step 5: Solve for x
    x = 712,158,981,998.77/541,917
  6. Step 6: Final answer
    x = 1,314,147.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.