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Finding the Third Proportional to 1,682,857.50 and 3,670,311

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Solution

The third proportional to 1,682,857.50 and 3,670,311 is: 8,004,945.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,857.50 : 3,670,311 = 3,670,311 : x
  2. Step 2: Convert to fraction form
    1,682,857.50/3,670,311 = 3,670,311/x
  3. Step 3: Cross multiply
    1,682,857.50x = 3,670,311 × 3,670,311
  4. Step 4: Simplify right side
    1,682,857.50x = 13,471,182,836,721
  5. Step 5: Solve for x
    x = 13,471,182,836,721/1,682,857.50
  6. Step 6: Final answer
    x = 8,004,945.66

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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.