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Finding the Third Proportional to 1,317,771.75 and 1,993,251.75

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Solution

The third proportional to 1,317,771.75 and 1,993,251.75 is: 3,014,977.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317,771.75 : 1,993,251.75 = 1,993,251.75 : x
  2. Step 2: Convert to fraction form
    1,317,771.75/1,993,251.75 = 1,993,251.75/x
  3. Step 3: Cross multiply
    1,317,771.75x = 1,993,251.75 × 1,993,251.75
  4. Step 4: Simplify right side
    1,317,771.75x = 3,973,052,538,878.06
  5. Step 5: Solve for x
    x = 3,973,052,538,878.06/1,317,771.75
  6. Step 6: Final answer
    x = 3,014,977.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.