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Finding the Third Proportional to 401,106 and 874,179

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Solution

The third proportional to 401,106 and 874,179 is: 1,905,204.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,106 : 874,179 = 874,179 : x
  2. Step 2: Convert to fraction form
    401,106/874,179 = 874,179/x
  3. Step 3: Cross multiply
    401,106x = 874,179 × 874,179
  4. Step 4: Simplify right side
    401,106x = 764,188,924,041
  5. Step 5: Solve for x
    x = 764,188,924,041/401,106
  6. Step 6: Final answer
    x = 1,905,204.42

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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.