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Finding the Third Proportional to 1,143,120 and 2,414,544

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Solution

The third proportional to 1,143,120 and 2,414,544 is: 5,100,096.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143,120 : 2,414,544 = 2,414,544 : x
  2. Step 2: Convert to fraction form
    1,143,120/2,414,544 = 2,414,544/x
  3. Step 3: Cross multiply
    1,143,120x = 2,414,544 × 2,414,544
  4. Step 4: Simplify right side
    1,143,120x = 5,830,022,727,936
  5. Step 5: Solve for x
    x = 5,830,022,727,936/1,143,120
  6. Step 6: Final answer
    x = 5,100,096.86

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.