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Finding the Third Proportional to 804,589 and 1,675,314

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Solution

The third proportional to 804,589 and 1,675,314 is: 3,488,336.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,589 : 1,675,314 = 1,675,314 : x
  2. Step 2: Convert to fraction form
    804,589/1,675,314 = 1,675,314/x
  3. Step 3: Cross multiply
    804,589x = 1,675,314 × 1,675,314
  4. Step 4: Simplify right side
    804,589x = 2,806,676,998,596
  5. Step 5: Solve for x
    x = 2,806,676,998,596/804,589
  6. Step 6: Final answer
    x = 3,488,336.28

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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.