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Finding the Third Proportional to 534,456 and 1,112,976

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Solution

The third proportional to 534,456 and 1,112,976 is: 2,317,712.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,456 : 1,112,976 = 1,112,976 : x
  2. Step 2: Convert to fraction form
    534,456/1,112,976 = 1,112,976/x
  3. Step 3: Cross multiply
    534,456x = 1,112,976 × 1,112,976
  4. Step 4: Simplify right side
    534,456x = 1,238,715,576,576
  5. Step 5: Solve for x
    x = 1,238,715,576,576/534,456
  6. Step 6: Final answer
    x = 2,317,712.92

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.