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Finding the Third Proportional to 1,449,072 and 3,178,080

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Solution

The third proportional to 1,449,072 and 3,178,080 is: 6,970,110.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449,072 : 3,178,080 = 3,178,080 : x
  2. Step 2: Convert to fraction form
    1,449,072/3,178,080 = 3,178,080/x
  3. Step 3: Cross multiply
    1,449,072x = 3,178,080 × 3,178,080
  4. Step 4: Simplify right side
    1,449,072x = 10,100,192,486,400
  5. Step 5: Solve for x
    x = 10,100,192,486,400/1,449,072
  6. Step 6: Final answer
    x = 6,970,110.86

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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.