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Finding the Third Proportional to 2,124,202.50 and 3,203,939.25

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Solution

The third proportional to 2,124,202.50 and 3,203,939.25 is: 4,832,508.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124,202.50 : 3,203,939.25 = 3,203,939.25 : x
  2. Step 2: Convert to fraction form
    2,124,202.50/3,203,939.25 = 3,203,939.25/x
  3. Step 3: Cross multiply
    2,124,202.50x = 3,203,939.25 × 3,203,939.25
  4. Step 4: Simplify right side
    2,124,202.50x = 10,265,226,717,690.56
  5. Step 5: Solve for x
    x = 10,265,226,717,690.56/2,124,202.50
  6. Step 6: Final answer
    x = 4,832,508.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.