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Finding the Third Proportional to 401,836 and 885,446

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Solution

The third proportional to 401,836 and 885,446 is: 1,951,081.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,836 : 885,446 = 885,446 : x
  2. Step 2: Convert to fraction form
    401,836/885,446 = 885,446/x
  3. Step 3: Cross multiply
    401,836x = 885,446 × 885,446
  4. Step 4: Simplify right side
    401,836x = 784,014,618,916
  5. Step 5: Solve for x
    x = 784,014,618,916/401,836
  6. Step 6: Final answer
    x = 1,951,081.09

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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.