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Finding the Third Proportional to 2,305,067.63 and 3,382,867.13

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Solution

The third proportional to 2,305,067.63 and 3,382,867.13 is: 4,964,622.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305,067.63 : 3,382,867.13 = 3,382,867.13 : x
  2. Step 2: Convert to fraction form
    2,305,067.63/3,382,867.13 = 3,382,867.13/x
  3. Step 3: Cross multiply
    2,305,067.63x = 3,382,867.13 × 3,382,867.13
  4. Step 4: Simplify right side
    2,305,067.63x = 11,443,789,985,405.77
  5. Step 5: Solve for x
    x = 11,443,789,985,405.77/2,305,067.63
  6. Step 6: Final answer
    x = 4,964,622.24

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.