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Finding the Third Proportional to 3,534,571.50 and 5,439,638.25

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Solution

The third proportional to 3,534,571.50 and 5,439,638.25 is: 8,371,499.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534,571.50 : 5,439,638.25 = 5,439,638.25 : x
  2. Step 2: Convert to fraction form
    3,534,571.50/5,439,638.25 = 5,439,638.25/x
  3. Step 3: Cross multiply
    3,534,571.50x = 5,439,638.25 × 5,439,638.25
  4. Step 4: Simplify right side
    3,534,571.50x = 29,589,664,290,863.06
  5. Step 5: Solve for x
    x = 29,589,664,290,863.06/3,534,571.50
  6. Step 6: Final answer
    x = 8,371,499.71

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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.