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Finding the Third Proportional to 3,579,024 and 5,420,659.50

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Solution

The third proportional to 3,579,024 and 5,420,659.50 is: 8,209,933.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,579,024 : 5,420,659.50 = 5,420,659.50 : x
  2. Step 2: Convert to fraction form
    3,579,024/5,420,659.50 = 5,420,659.50/x
  3. Step 3: Cross multiply
    3,579,024x = 5,420,659.50 × 5,420,659.50
  4. Step 4: Simplify right side
    3,579,024x = 29,383,549,414,940.25
  5. Step 5: Solve for x
    x = 29,383,549,414,940.25/3,579,024
  6. Step 6: Final answer
    x = 8,209,933.61

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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.