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Finding the Third Proportional to 1,706,395 and 3,734,198

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Solution

The third proportional to 1,706,395 and 3,734,198 is: 8,171,750.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706,395 : 3,734,198 = 3,734,198 : x
  2. Step 2: Convert to fraction form
    1,706,395/3,734,198 = 3,734,198/x
  3. Step 3: Cross multiply
    1,706,395x = 3,734,198 × 3,734,198
  4. Step 4: Simplify right side
    1,706,395x = 13,944,234,703,204
  5. Step 5: Solve for x
    x = 13,944,234,703,204/1,706,395
  6. Step 6: Final answer
    x = 8,171,750.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.