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Finding the Third Proportional to 401,103 and 874,173

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Solution

The third proportional to 401,103 and 874,173 is: 1,905,192.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,103 : 874,173 = 874,173 : x
  2. Step 2: Convert to fraction form
    401,103/874,173 = 874,173/x
  3. Step 3: Cross multiply
    401,103x = 874,173 × 874,173
  4. Step 4: Simplify right side
    401,103x = 764,178,433,929
  5. Step 5: Solve for x
    x = 764,178,433,929/401,103
  6. Step 6: Final answer
    x = 1,905,192.52

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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.