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Finding the Third Proportional to 1,449,100 and 3,178,136

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Solution

The third proportional to 1,449,100 and 3,178,136 is: 6,970,221.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449,100 : 3,178,136 = 3,178,136 : x
  2. Step 2: Convert to fraction form
    1,449,100/3,178,136 = 3,178,136/x
  3. Step 3: Cross multiply
    1,449,100x = 3,178,136 × 3,178,136
  4. Step 4: Simplify right side
    1,449,100x = 10,100,548,434,496
  5. Step 5: Solve for x
    x = 10,100,548,434,496/1,449,100
  6. Step 6: Final answer
    x = 6,970,221.82

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.