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Finding the Third Proportional to 426,228 and 984,165

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Solution

The third proportional to 426,228 and 984,165 is: 2,272,447.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,228 : 984,165 = 984,165 : x
  2. Step 2: Convert to fraction form
    426,228/984,165 = 984,165/x
  3. Step 3: Cross multiply
    426,228x = 984,165 × 984,165
  4. Step 4: Simplify right side
    426,228x = 968,580,747,225
  5. Step 5: Solve for x
    x = 968,580,747,225/426,228
  6. Step 6: Final answer
    x = 2,272,447.49

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.