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Finding the Third Proportional to 1,942,120 and 2,940,175

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Solution

The third proportional to 1,942,120 and 2,940,175 is: 4,451,130.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942,120 : 2,940,175 = 2,940,175 : x
  2. Step 2: Convert to fraction form
    1,942,120/2,940,175 = 2,940,175/x
  3. Step 3: Cross multiply
    1,942,120x = 2,940,175 × 2,940,175
  4. Step 4: Simplify right side
    1,942,120x = 8,644,629,030,625
  5. Step 5: Solve for x
    x = 8,644,629,030,625/1,942,120
  6. Step 6: Final answer
    x = 4,451,130.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.