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Finding the Third Proportional to 407,361 and 894,966

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Solution

The third proportional to 407,361 and 894,966 is: 1,966,226.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,361 : 894,966 = 894,966 : x
  2. Step 2: Convert to fraction form
    407,361/894,966 = 894,966/x
  3. Step 3: Cross multiply
    407,361x = 894,966 × 894,966
  4. Step 4: Simplify right side
    407,361x = 800,964,141,156
  5. Step 5: Solve for x
    x = 800,964,141,156/407,361
  6. Step 6: Final answer
    x = 1,966,226.86

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.