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Finding the Third Proportional to 426,222 and 984,150

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Solution

The third proportional to 426,222 and 984,150 is: 2,272,410.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,222 : 984,150 = 984,150 : x
  2. Step 2: Convert to fraction form
    426,222/984,150 = 984,150/x
  3. Step 3: Cross multiply
    426,222x = 984,150 × 984,150
  4. Step 4: Simplify right side
    426,222x = 968,551,222,500
  5. Step 5: Solve for x
    x = 968,551,222,500/426,222
  6. Step 6: Final answer
    x = 2,272,410.21

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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.