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Finding the Third Proportional to 533,442 and 1,162,746

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Solution

The third proportional to 533,442 and 1,162,746 is: 2,534,442.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,442 : 1,162,746 = 1,162,746 : x
  2. Step 2: Convert to fraction form
    533,442/1,162,746 = 1,162,746/x
  3. Step 3: Cross multiply
    533,442x = 1,162,746 × 1,162,746
  4. Step 4: Simplify right side
    533,442x = 1,351,978,260,516
  5. Step 5: Solve for x
    x = 1,351,978,260,516/533,442
  6. Step 6: Final answer
    x = 2,534,442.85

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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.