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Finding the Third Proportional to 513,891 and 1,106,520.75

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Solution

The third proportional to 513,891 and 1,106,520.75 is: 2,382,583.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,891 : 1,106,520.75 = 1,106,520.75 : x
  2. Step 2: Convert to fraction form
    513,891/1,106,520.75 = 1,106,520.75/x
  3. Step 3: Cross multiply
    513,891x = 1,106,520.75 × 1,106,520.75
  4. Step 4: Simplify right side
    513,891x = 1,224,388,170,180.56
  5. Step 5: Solve for x
    x = 1,224,388,170,180.56/513,891
  6. Step 6: Final answer
    x = 2,382,583.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.