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Finding the Third Proportional to 1,739,728 and 2,449,936

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Solution

The third proportional to 1,739,728 and 2,449,936 is: 3,450,071.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739,728 : 2,449,936 = 2,449,936 : x
  2. Step 2: Convert to fraction form
    1,739,728/2,449,936 = 2,449,936/x
  3. Step 3: Cross multiply
    1,739,728x = 2,449,936 × 2,449,936
  4. Step 4: Simplify right side
    1,739,728x = 6,002,186,404,096
  5. Step 5: Solve for x
    x = 6,002,186,404,096/1,739,728
  6. Step 6: Final answer
    x = 3,450,071.74

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.