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Finding the Third Proportional to 681,405 and 1,482,122

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Solution

The third proportional to 681,405 and 1,482,122 is: 3,223,759.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,405 : 1,482,122 = 1,482,122 : x
  2. Step 2: Convert to fraction form
    681,405/1,482,122 = 1,482,122/x
  3. Step 3: Cross multiply
    681,405x = 1,482,122 × 1,482,122
  4. Step 4: Simplify right side
    681,405x = 2,196,685,622,884
  5. Step 5: Solve for x
    x = 2,196,685,622,884/681,405
  6. Step 6: Final answer
    x = 3,223,759.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.