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Finding the Third Proportional to 3,942,401.25 and 5,763,928.50

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Solution

The third proportional to 3,942,401.25 and 5,763,928.50 is: 8,427,065.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942,401.25 : 5,763,928.50 = 5,763,928.50 : x
  2. Step 2: Convert to fraction form
    3,942,401.25/5,763,928.50 = 5,763,928.50/x
  3. Step 3: Cross multiply
    3,942,401.25x = 5,763,928.50 × 5,763,928.50
  4. Step 4: Simplify right side
    3,942,401.25x = 33,222,871,753,112.25
  5. Step 5: Solve for x
    x = 33,222,871,753,112.25/3,942,401.25
  6. Step 6: Final answer
    x = 8,427,065.04

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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.