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Finding the Third Proportional to 458,882.72 and 984,193.03

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Solution

The third proportional to 458,882.72 and 984,193.03 is: 2,110,857.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,882.72 : 984,193.03 = 984,193.03 : x
  2. Step 2: Convert to fraction form
    458,882.72/984,193.03 = 984,193.03/x
  3. Step 3: Cross multiply
    458,882.72x = 984,193.03 × 984,193.03
  4. Step 4: Simplify right side
    458,882.72x = 968,635,922,761.06
  5. Step 5: Solve for x
    x = 968,635,922,761.06/458,882.72
  6. Step 6: Final answer
    x = 2,110,857.27

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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.