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Finding the Third Proportional to 401,976 and 873,936

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Solution

The third proportional to 401,976 and 873,936 is: 1,900,024.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,976 : 873,936 = 873,936 : x
  2. Step 2: Convert to fraction form
    401,976/873,936 = 873,936/x
  3. Step 3: Cross multiply
    401,976x = 873,936 × 873,936
  4. Step 4: Simplify right side
    401,976x = 763,764,132,096
  5. Step 5: Solve for x
    x = 763,764,132,096/401,976
  6. Step 6: Final answer
    x = 1,900,024.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.