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Finding the Third Proportional to 541,854 and 843,801

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Solution

The third proportional to 541,854 and 843,801 is: 1,314,007.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,854 : 843,801 = 843,801 : x
  2. Step 2: Convert to fraction form
    541,854/843,801 = 843,801/x
  3. Step 3: Cross multiply
    541,854x = 843,801 × 843,801
  4. Step 4: Simplify right side
    541,854x = 712,000,127,601
  5. Step 5: Solve for x
    x = 712,000,127,601/541,854
  6. Step 6: Final answer
    x = 1,314,007.33

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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.