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Finding the Third Proportional to 428,230 and 922,232

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Solution

The third proportional to 428,230 and 922,232 is: 1,986,109.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,230 : 922,232 = 922,232 : x
  2. Step 2: Convert to fraction form
    428,230/922,232 = 922,232/x
  3. Step 3: Cross multiply
    428,230x = 922,232 × 922,232
  4. Step 4: Simplify right side
    428,230x = 850,511,861,824
  5. Step 5: Solve for x
    x = 850,511,861,824/428,230
  6. Step 6: Final answer
    x = 1,986,109.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.