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Finding the Third Proportional to 541,850 and 843,800

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Solution

The third proportional to 541,850 and 843,800 is: 1,314,013.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,850 : 843,800 = 843,800 : x
  2. Step 2: Convert to fraction form
    541,850/843,800 = 843,800/x
  3. Step 3: Cross multiply
    541,850x = 843,800 × 843,800
  4. Step 4: Simplify right side
    541,850x = 711,998,440,000
  5. Step 5: Solve for x
    x = 711,998,440,000/541,850
  6. Step 6: Final answer
    x = 1,314,013.92

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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.