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Finding the Third Proportional to 428,220 and 922,212

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Solution

The third proportional to 428,220 and 922,212 is: 1,986,070.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,220 : 922,212 = 922,212 : x
  2. Step 2: Convert to fraction form
    428,220/922,212 = 922,212/x
  3. Step 3: Cross multiply
    428,220x = 922,212 × 922,212
  4. Step 4: Simplify right side
    428,220x = 850,474,972,944
  5. Step 5: Solve for x
    x = 850,474,972,944/428,220
  6. Step 6: Final answer
    x = 1,986,070.18

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