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Finding the Third Proportional to 493,431.75 and 1,025,649

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Solution

The third proportional to 493,431.75 and 1,025,649 is: 2,131,917.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,431.75 : 1,025,649 = 1,025,649 : x
  2. Step 2: Convert to fraction form
    493,431.75/1,025,649 = 1,025,649/x
  3. Step 3: Cross multiply
    493,431.75x = 1,025,649 × 1,025,649
  4. Step 4: Simplify right side
    493,431.75x = 1,051,955,871,201
  5. Step 5: Solve for x
    x = 1,051,955,871,201/493,431.75
  6. Step 6: Final answer
    x = 2,131,917.68

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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.