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Finding the Third Proportional to 451,164.38 and 939,647.25

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Solution

The third proportional to 451,164.38 and 939,647.25 is: 1,957,018.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,164.38 : 939,647.25 = 939,647.25 : x
  2. Step 2: Convert to fraction form
    451,164.38/939,647.25 = 939,647.25/x
  3. Step 3: Cross multiply
    451,164.38x = 939,647.25 × 939,647.25
  4. Step 4: Simplify right side
    451,164.38x = 882,936,954,432.56
  5. Step 5: Solve for x
    x = 882,936,954,432.56/451,164.38
  6. Step 6: Final answer
    x = 1,957,018.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.