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Finding the Third Proportional to 2,055,146 and 3,162,747

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Solution

The third proportional to 2,055,146 and 3,162,747 is: 4,867,278.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055,146 : 3,162,747 = 3,162,747 : x
  2. Step 2: Convert to fraction form
    2,055,146/3,162,747 = 3,162,747/x
  3. Step 3: Cross multiply
    2,055,146x = 3,162,747 × 3,162,747
  4. Step 4: Simplify right side
    2,055,146x = 10,002,968,586,009
  5. Step 5: Solve for x
    x = 10,002,968,586,009/2,055,146
  6. Step 6: Final answer
    x = 4,867,278.81

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.