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Finding the Third Proportional to 401,100 and 874,167

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Solution

The third proportional to 401,100 and 874,167 is: 1,905,180.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,100 : 874,167 = 874,167 : x
  2. Step 2: Convert to fraction form
    401,100/874,167 = 874,167/x
  3. Step 3: Cross multiply
    401,100x = 874,167 × 874,167
  4. Step 4: Simplify right side
    401,100x = 764,167,943,889
  5. Step 5: Solve for x
    x = 764,167,943,889/401,100
  6. Step 6: Final answer
    x = 1,905,180.61

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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.