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Finding the Third Proportional to 541,906 and 843,873

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Solution

The third proportional to 541,906 and 843,873 is: 1,314,105.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,906 : 843,873 = 843,873 : x
  2. Step 2: Convert to fraction form
    541,906/843,873 = 843,873/x
  3. Step 3: Cross multiply
    541,906x = 843,873 × 843,873
  4. Step 4: Simplify right side
    541,906x = 712,121,640,129
  5. Step 5: Solve for x
    x = 712,121,640,129/541,906
  6. Step 6: Final answer
    x = 1,314,105.47

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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.