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Finding the Third Proportional to 3,305,949 and 5,008,823.25

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Solution

The third proportional to 3,305,949 and 5,008,823.25 is: 7,588,837.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305,949 : 5,008,823.25 = 5,008,823.25 : x
  2. Step 2: Convert to fraction form
    3,305,949/5,008,823.25 = 5,008,823.25/x
  3. Step 3: Cross multiply
    3,305,949x = 5,008,823.25 × 5,008,823.25
  4. Step 4: Simplify right side
    3,305,949x = 25,088,310,349,740.56
  5. Step 5: Solve for x
    x = 25,088,310,349,740.56/3,305,949
  6. Step 6: Final answer
    x = 7,588,837.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.