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Finding the Third Proportional to 1,449,072.75 and 3,178,081.50

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Solution

The third proportional to 1,449,072.75 and 3,178,081.50 is: 6,970,113.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449,072.75 : 3,178,081.50 = 3,178,081.50 : x
  2. Step 2: Convert to fraction form
    1,449,072.75/3,178,081.50 = 3,178,081.50/x
  3. Step 3: Cross multiply
    1,449,072.75x = 3,178,081.50 × 3,178,081.50
  4. Step 4: Simplify right side
    1,449,072.75x = 10,100,202,020,642.25
  5. Step 5: Solve for x
    x = 10,100,202,020,642.25/1,449,072.75
  6. Step 6: Final answer
    x = 6,970,113.83

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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.