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Finding the Third Proportional to 422,521 and 939,496

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Solution

The third proportional to 422,521 and 939,496 is: 2,089,015.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,521 : 939,496 = 939,496 : x
  2. Step 2: Convert to fraction form
    422,521/939,496 = 939,496/x
  3. Step 3: Cross multiply
    422,521x = 939,496 × 939,496
  4. Step 4: Simplify right side
    422,521x = 882,652,734,016
  5. Step 5: Solve for x
    x = 882,652,734,016/422,521
  6. Step 6: Final answer
    x = 2,089,015.06

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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.