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Finding the Third Proportional to 2,100,086 and 3,257,913

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Solution

The third proportional to 2,100,086 and 3,257,913 is: 5,054,077.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100,086 : 3,257,913 = 3,257,913 : x
  2. Step 2: Convert to fraction form
    2,100,086/3,257,913 = 3,257,913/x
  3. Step 3: Cross multiply
    2,100,086x = 3,257,913 × 3,257,913
  4. Step 4: Simplify right side
    2,100,086x = 10,613,997,115,569
  5. Step 5: Solve for x
    x = 10,613,997,115,569/2,100,086
  6. Step 6: Final answer
    x = 5,054,077.36

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