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Finding the Third Proportional to 422,602 and 939,692

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Solution

The third proportional to 422,602 and 939,692 is: 2,089,486.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,602 : 939,692 = 939,692 : x
  2. Step 2: Convert to fraction form
    422,602/939,692 = 939,692/x
  3. Step 3: Cross multiply
    422,602x = 939,692 × 939,692
  4. Step 4: Simplify right side
    422,602x = 883,021,054,864
  5. Step 5: Solve for x
    x = 883,021,054,864/422,602
  6. Step 6: Final answer
    x = 2,089,486.22

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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.