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Finding the Third Proportional to 458,900 and 984,228

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Solution

The third proportional to 458,900 and 984,228 is: 2,110,927.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,900 : 984,228 = 984,228 : x
  2. Step 2: Convert to fraction form
    458,900/984,228 = 984,228/x
  3. Step 3: Cross multiply
    458,900x = 984,228 × 984,228
  4. Step 4: Simplify right side
    458,900x = 968,704,755,984
  5. Step 5: Solve for x
    x = 968,704,755,984/458,900
  6. Step 6: Final answer
    x = 2,110,927.78

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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.