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Finding the Third Proportional to 493,446.94 and 1,025,667.56

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Solution

The third proportional to 493,446.94 and 1,025,667.56 is: 2,131,929.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,446.94 : 1,025,667.56 = 1,025,667.56 : x
  2. Step 2: Convert to fraction form
    493,446.94/1,025,667.56 = 1,025,667.56/x
  3. Step 3: Cross multiply
    493,446.94x = 1,025,667.56 × 1,025,667.56
  4. Step 4: Simplify right side
    493,446.94x = 1,051,993,948,764.69
  5. Step 5: Solve for x
    x = 1,051,993,948,764.69/493,446.94
  6. Step 6: Final answer
    x = 2,131,929.23

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.