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Finding the Third Proportional to 422,514 and 939,483

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Solution

The third proportional to 422,514 and 939,483 is: 2,088,991.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,514 : 939,483 = 939,483 : x
  2. Step 2: Convert to fraction form
    422,514/939,483 = 939,483/x
  3. Step 3: Cross multiply
    422,514x = 939,483 × 939,483
  4. Step 4: Simplify right side
    422,514x = 882,628,307,289
  5. Step 5: Solve for x
    x = 882,628,307,289/422,514
  6. Step 6: Final answer
    x = 2,088,991.86

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.