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Finding the Third Proportional to 1,198,824 and 2,568,645

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Solution

The third proportional to 1,198,824 and 2,568,645 is: 5,503,674.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198,824 : 2,568,645 = 2,568,645 : x
  2. Step 2: Convert to fraction form
    1,198,824/2,568,645 = 2,568,645/x
  3. Step 3: Cross multiply
    1,198,824x = 2,568,645 × 2,568,645
  4. Step 4: Simplify right side
    1,198,824x = 6,597,937,136,025
  5. Step 5: Solve for x
    x = 6,597,937,136,025/1,198,824
  6. Step 6: Final answer
    x = 5,503,674.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.