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Finding the Third Proportional to 2,858,150 and 6,292,027

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Solution

The third proportional to 2,858,150 and 6,292,027 is: 13,851,478.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858,150 : 6,292,027 = 6,292,027 : x
  2. Step 2: Convert to fraction form
    2,858,150/6,292,027 = 6,292,027/x
  3. Step 3: Cross multiply
    2,858,150x = 6,292,027 × 6,292,027
  4. Step 4: Simplify right side
    2,858,150x = 39,589,603,768,729
  5. Step 5: Solve for x
    x = 39,589,603,768,729/2,858,150
  6. Step 6: Final answer
    x = 13,851,478.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.