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Finding the Third Proportional to 458,855.25 and 984,119.25

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Solution

The third proportional to 458,855.25 and 984,119.25 is: 2,110,667.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,855.25 : 984,119.25 = 984,119.25 : x
  2. Step 2: Convert to fraction form
    458,855.25/984,119.25 = 984,119.25/x
  3. Step 3: Cross multiply
    458,855.25x = 984,119.25 × 984,119.25
  4. Step 4: Simplify right side
    458,855.25x = 968,490,698,220.56
  5. Step 5: Solve for x
    x = 968,490,698,220.56/458,855.25
  6. Step 6: Final answer
    x = 2,110,667.14

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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.