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Finding the Third Proportional to 2,765,249.50 and 4,186,305

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Solution

The third proportional to 2,765,249.50 and 4,186,305 is: 6,337,637.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765,249.50 : 4,186,305 = 4,186,305 : x
  2. Step 2: Convert to fraction form
    2,765,249.50/4,186,305 = 4,186,305/x
  3. Step 3: Cross multiply
    2,765,249.50x = 4,186,305 × 4,186,305
  4. Step 4: Simplify right side
    2,765,249.50x = 17,525,149,553,025
  5. Step 5: Solve for x
    x = 17,525,149,553,025/2,765,249.50
  6. Step 6: Final answer
    x = 6,337,637.73

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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.