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Finding the Third Proportional to 2,314,150 and 3,469,010

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Solution

The third proportional to 2,314,150 and 3,469,010 is: 5,200,194.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314,150 : 3,469,010 = 3,469,010 : x
  2. Step 2: Convert to fraction form
    2,314,150/3,469,010 = 3,469,010/x
  3. Step 3: Cross multiply
    2,314,150x = 3,469,010 × 3,469,010
  4. Step 4: Simplify right side
    2,314,150x = 12,034,030,380,100
  5. Step 5: Solve for x
    x = 12,034,030,380,100/2,314,150
  6. Step 6: Final answer
    x = 5,200,194.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.