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Finding the Third Proportional to 2,004,005.25 and 4,322,939.63

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Solution

The third proportional to 2,004,005.25 and 4,322,939.63 is: 9,325,228.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004,005.25 : 4,322,939.63 = 4,322,939.63 : x
  2. Step 2: Convert to fraction form
    2,004,005.25/4,322,939.63 = 4,322,939.63/x
  3. Step 3: Cross multiply
    2,004,005.25x = 4,322,939.63 × 4,322,939.63
  4. Step 4: Simplify right side
    2,004,005.25x = 18,687,807,001,395.14
  5. Step 5: Solve for x
    x = 18,687,807,001,395.14/2,004,005.25
  6. Step 6: Final answer
    x = 9,325,228.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.