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Finding the Third Proportional to 752,956 and 1,468,080

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Solution

The third proportional to 752,956 and 1,468,080 is: 2,862,396.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,956 : 1,468,080 = 1,468,080 : x
  2. Step 2: Convert to fraction form
    752,956/1,468,080 = 1,468,080/x
  3. Step 3: Cross multiply
    752,956x = 1,468,080 × 1,468,080
  4. Step 4: Simplify right side
    752,956x = 2,155,258,886,400
  5. Step 5: Solve for x
    x = 2,155,258,886,400/752,956
  6. Step 6: Final answer
    x = 2,862,396.86

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.