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Finding the Third Proportional to 532,420 and 1,163,096

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Solution

The third proportional to 532,420 and 1,163,096 is: 2,540,836.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,420 : 1,163,096 = 1,163,096 : x
  2. Step 2: Convert to fraction form
    532,420/1,163,096 = 1,163,096/x
  3. Step 3: Cross multiply
    532,420x = 1,163,096 × 1,163,096
  4. Step 4: Simplify right side
    532,420x = 1,352,792,305,216
  5. Step 5: Solve for x
    x = 1,352,792,305,216/532,420
  6. Step 6: Final answer
    x = 2,540,836.76

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.