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Finding the Third Proportional to 1,469,351.25 and 2,269,534.50

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Solution

The third proportional to 1,469,351.25 and 2,269,534.50 is: 3,505,483.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469,351.25 : 2,269,534.50 = 2,269,534.50 : x
  2. Step 2: Convert to fraction form
    1,469,351.25/2,269,534.50 = 2,269,534.50/x
  3. Step 3: Cross multiply
    1,469,351.25x = 2,269,534.50 × 2,269,534.50
  4. Step 4: Simplify right side
    1,469,351.25x = 5,150,786,846,690.25
  5. Step 5: Solve for x
    x = 5,150,786,846,690.25/1,469,351.25
  6. Step 6: Final answer
    x = 3,505,483.69

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.