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Finding the Third Proportional to 541,836 and 843,777

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Solution

The third proportional to 541,836 and 843,777 is: 1,313,976.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,836 : 843,777 = 843,777 : x
  2. Step 2: Convert to fraction form
    541,836/843,777 = 843,777/x
  3. Step 3: Cross multiply
    541,836x = 843,777 × 843,777
  4. Step 4: Simplify right side
    541,836x = 711,959,625,729
  5. Step 5: Solve for x
    x = 711,959,625,729/541,836
  6. Step 6: Final answer
    x = 1,313,976.23

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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.