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Finding the Third Proportional to 541,843 and 843,788

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Solution

The third proportional to 541,843 and 843,788 is: 1,313,993.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,843 : 843,788 = 843,788 : x
  2. Step 2: Convert to fraction form
    541,843/843,788 = 843,788/x
  3. Step 3: Cross multiply
    541,843x = 843,788 × 843,788
  4. Step 4: Simplify right side
    541,843x = 711,978,188,944
  5. Step 5: Solve for x
    x = 711,978,188,944/541,843
  6. Step 6: Final answer
    x = 1,313,993.52

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