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Finding the Third Proportional to 541,842 and 843,787

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Solution

The third proportional to 541,842 and 843,787 is: 1,313,992.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,842 : 843,787 = 843,787 : x
  2. Step 2: Convert to fraction form
    541,842/843,787 = 843,787/x
  3. Step 3: Cross multiply
    541,842x = 843,787 × 843,787
  4. Step 4: Simplify right side
    541,842x = 711,976,501,369
  5. Step 5: Solve for x
    x = 711,976,501,369/541,842
  6. Step 6: Final answer
    x = 1,313,992.83

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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.