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Finding the Third Proportional to 454,416.75 and 984,062.25

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Solution

The third proportional to 454,416.75 and 984,062.25 is: 2,131,036.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,416.75 : 984,062.25 = 984,062.25 : x
  2. Step 2: Convert to fraction form
    454,416.75/984,062.25 = 984,062.25/x
  3. Step 3: Cross multiply
    454,416.75x = 984,062.25 × 984,062.25
  4. Step 4: Simplify right side
    454,416.75x = 968,378,511,875.06
  5. Step 5: Solve for x
    x = 968,378,511,875.06/454,416.75
  6. Step 6: Final answer
    x = 2,131,036.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.