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Finding the Third Proportional to 422,606 and 620,976

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Solution

The third proportional to 422,606 and 620,976 is: 912,460.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,606 : 620,976 = 620,976 : x
  2. Step 2: Convert to fraction form
    422,606/620,976 = 620,976/x
  3. Step 3: Cross multiply
    422,606x = 620,976 × 620,976
  4. Step 4: Simplify right side
    422,606x = 385,611,192,576
  5. Step 5: Solve for x
    x = 385,611,192,576/422,606
  6. Step 6: Final answer
    x = 912,460.29

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.