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Finding the Third Proportional to 3,942,439.50 and 5,763,984

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Solution

The third proportional to 3,942,439.50 and 5,763,984 is: 8,427,145.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942,439.50 : 5,763,984 = 5,763,984 : x
  2. Step 2: Convert to fraction form
    3,942,439.50/5,763,984 = 5,763,984/x
  3. Step 3: Cross multiply
    3,942,439.50x = 5,763,984 × 5,763,984
  4. Step 4: Simplify right side
    3,942,439.50x = 33,223,511,552,256
  5. Step 5: Solve for x
    x = 33,223,511,552,256/3,942,439.50
  6. Step 6: Final answer
    x = 8,427,145.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.