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Finding the Third Proportional to 1,682,919 and 3,702,285

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Solution

The third proportional to 1,682,919 and 3,702,285 is: 8,144,726.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,919 : 3,702,285 = 3,702,285 : x
  2. Step 2: Convert to fraction form
    1,682,919/3,702,285 = 3,702,285/x
  3. Step 3: Cross multiply
    1,682,919x = 3,702,285 × 3,702,285
  4. Step 4: Simplify right side
    1,682,919x = 13,706,914,221,225
  5. Step 5: Solve for x
    x = 13,706,914,221,225/1,682,919
  6. Step 6: Final answer
    x = 8,144,726.05

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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.