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Finding the Third Proportional to 1,467,732 and 3,233,444

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Solution

The third proportional to 1,467,732 and 3,233,444 is: 7,123,344.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467,732 : 3,233,444 = 3,233,444 : x
  2. Step 2: Convert to fraction form
    1,467,732/3,233,444 = 3,233,444/x
  3. Step 3: Cross multiply
    1,467,732x = 3,233,444 × 3,233,444
  4. Step 4: Simplify right side
    1,467,732x = 10,455,160,101,136
  5. Step 5: Solve for x
    x = 10,455,160,101,136/1,467,732
  6. Step 6: Final answer
    x = 7,123,344.11

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.