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Finding the Third Proportional to 2,305,146 and 3,382,932

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Solution

The third proportional to 2,305,146 and 3,382,932 is: 4,964,643.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305,146 : 3,382,932 = 3,382,932 : x
  2. Step 2: Convert to fraction form
    2,305,146/3,382,932 = 3,382,932/x
  3. Step 3: Cross multiply
    2,305,146x = 3,382,932 × 3,382,932
  4. Step 4: Simplify right side
    2,305,146x = 11,444,228,916,624
  5. Step 5: Solve for x
    x = 11,444,228,916,624/2,305,146
  6. Step 6: Final answer
    x = 4,964,643.85

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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.