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Finding the Third Proportional to 1,469,348.44 and 2,269,529.72

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Solution

The third proportional to 1,469,348.44 and 2,269,529.72 is: 3,505,475.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469,348.44 : 2,269,529.72 = 2,269,529.72 : x
  2. Step 2: Convert to fraction form
    1,469,348.44/2,269,529.72 = 2,269,529.72/x
  3. Step 3: Cross multiply
    1,469,348.44x = 2,269,529.72 × 2,269,529.72
  4. Step 4: Simplify right side
    1,469,348.44x = 5,150,765,144,289.45
  5. Step 5: Solve for x
    x = 5,150,765,144,289.45/1,469,348.44
  6. Step 6: Final answer
    x = 3,505,475.63

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Why These Related Problems?

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