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Finding the Third Proportional to 401,110 and 874,187

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Solution

The third proportional to 401,110 and 874,187 is: 1,905,220.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,110 : 874,187 = 874,187 : x
  2. Step 2: Convert to fraction form
    401,110/874,187 = 874,187/x
  3. Step 3: Cross multiply
    401,110x = 874,187 × 874,187
  4. Step 4: Simplify right side
    401,110x = 764,202,910,969
  5. Step 5: Solve for x
    x = 764,202,910,969/401,110
  6. Step 6: Final answer
    x = 1,905,220.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.