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Finding the Third Proportional to 523,016 and 1,128,976

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Solution

The third proportional to 523,016 and 1,128,976 is: 2,436,993.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,016 : 1,128,976 = 1,128,976 : x
  2. Step 2: Convert to fraction form
    523,016/1,128,976 = 1,128,976/x
  3. Step 3: Cross multiply
    523,016x = 1,128,976 × 1,128,976
  4. Step 4: Simplify right side
    523,016x = 1,274,586,808,576
  5. Step 5: Solve for x
    x = 1,274,586,808,576/523,016
  6. Step 6: Final answer
    x = 2,436,993.91

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.