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Finding the Third Proportional to 3,802,290.75 and 5,836,297.50

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Solution

The third proportional to 3,802,290.75 and 5,836,297.50 is: 8,958,380.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802,290.75 : 5,836,297.50 = 5,836,297.50 : x
  2. Step 2: Convert to fraction form
    3,802,290.75/5,836,297.50 = 5,836,297.50/x
  3. Step 3: Cross multiply
    3,802,290.75x = 5,836,297.50 × 5,836,297.50
  4. Step 4: Simplify right side
    3,802,290.75x = 34,062,368,508,506.25
  5. Step 5: Solve for x
    x = 34,062,368,508,506.25/3,802,290.75
  6. Step 6: Final answer
    x = 8,958,380.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.