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Finding the Third Proportional to 2,054,451.09 and 3,193,578.14

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Solution

The third proportional to 2,054,451.09 and 3,193,578.14 is: 4,964,314.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054,451.09 : 3,193,578.14 = 3,193,578.14 : x
  2. Step 2: Convert to fraction form
    2,054,451.09/3,193,578.14 = 3,193,578.14/x
  3. Step 3: Cross multiply
    2,054,451.09x = 3,193,578.14 × 3,193,578.14
  4. Step 4: Simplify right side
    2,054,451.09x = 10,198,941,340,277.83
  5. Step 5: Solve for x
    x = 10,198,941,340,277.83/2,054,451.09
  6. Step 6: Final answer
    x = 4,964,314.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.