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Finding the Third Proportional to 458,879.06 and 984,187.69

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Solution

The third proportional to 458,879.06 and 984,187.69 is: 2,110,851.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,879.06 : 984,187.69 = 984,187.69 : x
  2. Step 2: Convert to fraction form
    458,879.06/984,187.69 = 984,187.69/x
  3. Step 3: Cross multiply
    458,879.06x = 984,187.69 × 984,187.69
  4. Step 4: Simplify right side
    458,879.06x = 968,625,404,226.60
  5. Step 5: Solve for x
    x = 968,625,404,226.60/458,879.06
  6. Step 6: Final answer
    x = 2,110,851.17

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Why These Related Problems?

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