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Finding the Third Proportional to 433,986 and 939,325

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Solution

The third proportional to 433,986 and 939,325 is: 2,033,087.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,986 : 939,325 = 939,325 : x
  2. Step 2: Convert to fraction form
    433,986/939,325 = 939,325/x
  3. Step 3: Cross multiply
    433,986x = 939,325 × 939,325
  4. Step 4: Simplify right side
    433,986x = 882,331,455,625
  5. Step 5: Solve for x
    x = 882,331,455,625/433,986
  6. Step 6: Final answer
    x = 2,033,087.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.