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Finding the Third Proportional to 458,883.38 and 984,195.19

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Solution

The third proportional to 458,883.38 and 984,195.19 is: 2,110,863.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,883.38 : 984,195.19 = 984,195.19 : x
  2. Step 2: Convert to fraction form
    458,883.38/984,195.19 = 984,195.19/x
  3. Step 3: Cross multiply
    458,883.38x = 984,195.19 × 984,195.19
  4. Step 4: Simplify right side
    458,883.38x = 968,640,167,098.16
  5. Step 5: Solve for x
    x = 968,640,167,098.16/458,883.38
  6. Step 6: Final answer
    x = 2,110,863.50

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.