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Finding the Third Proportional to 1,629,942 and 3,540,372

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Solution

The third proportional to 1,629,942 and 3,540,372 is: 7,689,987.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629,942 : 3,540,372 = 3,540,372 : x
  2. Step 2: Convert to fraction form
    1,629,942/3,540,372 = 3,540,372/x
  3. Step 3: Cross multiply
    1,629,942x = 3,540,372 × 3,540,372
  4. Step 4: Simplify right side
    1,629,942x = 12,534,233,898,384
  5. Step 5: Solve for x
    x = 12,534,233,898,384/1,629,942
  6. Step 6: Final answer
    x = 7,689,987.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.