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Finding the Third Proportional to 844,840 and 1,296,824

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Solution

The third proportional to 844,840 and 1,296,824 is: 1,990,616.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    844,840 : 1,296,824 = 1,296,824 : x
  2. Step 2: Convert to fraction form
    844,840/1,296,824 = 1,296,824/x
  3. Step 3: Cross multiply
    844,840x = 1,296,824 × 1,296,824
  4. Step 4: Simplify right side
    844,840x = 1,681,752,486,976
  5. Step 5: Solve for x
    x = 1,681,752,486,976/844,840
  6. Step 6: Final answer
    x = 1,990,616.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.