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Finding the Third Proportional to 422,596 and 939,679

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Solution

The third proportional to 422,596 and 939,679 is: 2,089,458.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,596 : 939,679 = 939,679 : x
  2. Step 2: Convert to fraction form
    422,596/939,679 = 939,679/x
  3. Step 3: Cross multiply
    422,596x = 939,679 × 939,679
  4. Step 4: Simplify right side
    422,596x = 882,996,623,041
  5. Step 5: Solve for x
    x = 882,996,623,041/422,596
  6. Step 6: Final answer
    x = 2,089,458.07

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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.