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Finding the Third Proportional to 3,782,056.50 and 5,659,719.75

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Solution

The third proportional to 3,782,056.50 and 5,659,719.75 is: 8,469,579.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782,056.50 : 5,659,719.75 = 5,659,719.75 : x
  2. Step 2: Convert to fraction form
    3,782,056.50/5,659,719.75 = 5,659,719.75/x
  3. Step 3: Cross multiply
    3,782,056.50x = 5,659,719.75 × 5,659,719.75
  4. Step 4: Simplify right side
    3,782,056.50x = 32,032,427,648,540.06
  5. Step 5: Solve for x
    x = 32,032,427,648,540.06/3,782,056.50
  6. Step 6: Final answer
    x = 8,469,579.35

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Why These Related Problems?

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