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Finding the Third Proportional to 1,682,613 and 3,669,765.75

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Solution

The third proportional to 1,682,613 and 3,669,765.75 is: 8,003,730.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,613 : 3,669,765.75 = 3,669,765.75 : x
  2. Step 2: Convert to fraction form
    1,682,613/3,669,765.75 = 3,669,765.75/x
  3. Step 3: Cross multiply
    1,682,613x = 3,669,765.75 × 3,669,765.75
  4. Step 4: Simplify right side
    1,682,613x = 13,467,180,659,873.06
  5. Step 5: Solve for x
    x = 13,467,180,659,873.06/1,682,613
  6. Step 6: Final answer
    x = 8,003,730.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.