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Finding the Third Proportional to 802,589 and 1,671,608

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Solution

The third proportional to 802,589 and 1,671,608 is: 3,481,574.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,589 : 1,671,608 = 1,671,608 : x
  2. Step 2: Convert to fraction form
    802,589/1,671,608 = 1,671,608/x
  3. Step 3: Cross multiply
    802,589x = 1,671,608 × 1,671,608
  4. Step 4: Simplify right side
    802,589x = 2,794,273,305,664
  5. Step 5: Solve for x
    x = 2,794,273,305,664/802,589
  6. Step 6: Final answer
    x = 3,481,574.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.