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Finding the Third Proportional to 664,404.19 and 1,025,947.69

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Solution

The third proportional to 664,404.19 and 1,025,947.69 is: 1,584,229.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,404.19 : 1,025,947.69 = 1,025,947.69 : x
  2. Step 2: Convert to fraction form
    664,404.19/1,025,947.69 = 1,025,947.69/x
  3. Step 3: Cross multiply
    664,404.19x = 1,025,947.69 × 1,025,947.69
  4. Step 4: Simplify right side
    664,404.19x = 1,052,568,657,486.60
  5. Step 5: Solve for x
    x = 1,052,568,657,486.60/664,404.19
  6. Step 6: Final answer
    x = 1,584,229.42

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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.