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Finding the Third Proportional to 1,682,859.50 and 3,670,315

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Solution

The third proportional to 1,682,859.50 and 3,670,315 is: 8,004,953.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,859.50 : 3,670,315 = 3,670,315 : x
  2. Step 2: Convert to fraction form
    1,682,859.50/3,670,315 = 3,670,315/x
  3. Step 3: Cross multiply
    1,682,859.50x = 3,670,315 × 3,670,315
  4. Step 4: Simplify right side
    1,682,859.50x = 13,471,212,199,225
  5. Step 5: Solve for x
    x = 13,471,212,199,225/1,682,859.50
  6. Step 6: Final answer
    x = 8,004,953.59

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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.