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Finding the Third Proportional to 681,144 and 1,480,176

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Solution

The third proportional to 681,144 and 1,480,176 is: 3,216,531.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,144 : 1,480,176 = 1,480,176 : x
  2. Step 2: Convert to fraction form
    681,144/1,480,176 = 1,480,176/x
  3. Step 3: Cross multiply
    681,144x = 1,480,176 × 1,480,176
  4. Step 4: Simplify right side
    681,144x = 2,190,920,990,976
  5. Step 5: Solve for x
    x = 2,190,920,990,976/681,144
  6. Step 6: Final answer
    x = 3,216,531.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.