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Finding the Third Proportional to 1,449,084 and 3,178,102

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Solution

The third proportional to 1,449,084 and 3,178,102 is: 6,970,149.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449,084 : 3,178,102 = 3,178,102 : x
  2. Step 2: Convert to fraction form
    1,449,084/3,178,102 = 3,178,102/x
  3. Step 3: Cross multiply
    1,449,084x = 3,178,102 × 3,178,102
  4. Step 4: Simplify right side
    1,449,084x = 10,100,332,322,404
  5. Step 5: Solve for x
    x = 10,100,332,322,404/1,449,084
  6. Step 6: Final answer
    x = 6,970,149.64

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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.