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Finding the Third Proportional to 1,597,223 and 3,463,936

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Solution

The third proportional to 1,597,223 and 3,463,936 is: 7,512,321.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597,223 : 3,463,936 = 3,463,936 : x
  2. Step 2: Convert to fraction form
    1,597,223/3,463,936 = 3,463,936/x
  3. Step 3: Cross multiply
    1,597,223x = 3,463,936 × 3,463,936
  4. Step 4: Simplify right side
    1,597,223x = 11,998,852,612,096
  5. Step 5: Solve for x
    x = 11,998,852,612,096/1,597,223
  6. Step 6: Final answer
    x = 7,512,321.46

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