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Finding the Third Proportional to 1,682,257.50 and 3,700,809

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Solution

The third proportional to 1,682,257.50 and 3,700,809 is: 8,141,433.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,257.50 : 3,700,809 = 3,700,809 : x
  2. Step 2: Convert to fraction form
    1,682,257.50/3,700,809 = 3,700,809/x
  3. Step 3: Cross multiply
    1,682,257.50x = 3,700,809 × 3,700,809
  4. Step 4: Simplify right side
    1,682,257.50x = 13,695,987,254,481
  5. Step 5: Solve for x
    x = 13,695,987,254,481/1,682,257.50
  6. Step 6: Final answer
    x = 8,141,433.31

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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.