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Finding the Third Proportional to 3,067,213.50 and 4,762,644.75

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Solution

The third proportional to 3,067,213.50 and 4,762,644.75 is: 7,395,241.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,067,213.50 : 4,762,644.75 = 4,762,644.75 : x
  2. Step 2: Convert to fraction form
    3,067,213.50/4,762,644.75 = 4,762,644.75/x
  3. Step 3: Cross multiply
    3,067,213.50x = 4,762,644.75 × 4,762,644.75
  4. Step 4: Simplify right side
    3,067,213.50x = 22,682,785,014,702.56
  5. Step 5: Solve for x
    x = 22,682,785,014,702.56/3,067,213.50
  6. Step 6: Final answer
    x = 7,395,241.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.