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Finding the Third Proportional to 1,682,920.50 and 3,702,288

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Solution

The third proportional to 1,682,920.50 and 3,702,288 is: 8,144,731.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,920.50 : 3,702,288 = 3,702,288 : x
  2. Step 2: Convert to fraction form
    1,682,920.50/3,702,288 = 3,702,288/x
  3. Step 3: Cross multiply
    1,682,920.50x = 3,702,288 × 3,702,288
  4. Step 4: Simplify right side
    1,682,920.50x = 13,706,936,434,944
  5. Step 5: Solve for x
    x = 13,706,936,434,944/1,682,920.50
  6. Step 6: Final answer
    x = 8,144,731.99

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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.