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Finding the Third Proportional to 458,872 and 984,175

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Solution

The third proportional to 458,872 and 984,175 is: 2,110,829.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,872 : 984,175 = 984,175 : x
  2. Step 2: Convert to fraction form
    458,872/984,175 = 984,175/x
  3. Step 3: Cross multiply
    458,872x = 984,175 × 984,175
  4. Step 4: Simplify right side
    458,872x = 968,600,430,625
  5. Step 5: Solve for x
    x = 968,600,430,625/458,872
  6. Step 6: Final answer
    x = 2,110,829.23

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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.