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Finding the Third Proportional to 492,576 and 1,062,912

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Solution

The third proportional to 492,576 and 1,062,912 is: 2,293,619.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,576 : 1,062,912 = 1,062,912 : x
  2. Step 2: Convert to fraction form
    492,576/1,062,912 = 1,062,912/x
  3. Step 3: Cross multiply
    492,576x = 1,062,912 × 1,062,912
  4. Step 4: Simplify right side
    492,576x = 1,129,781,919,744
  5. Step 5: Solve for x
    x = 1,129,781,919,744/492,576
  6. Step 6: Final answer
    x = 2,293,619.50

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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.