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Finding the Third Proportional to 752,964 and 1,468,092

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Solution

The third proportional to 752,964 and 1,468,092 is: 2,862,413.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,964 : 1,468,092 = 1,468,092 : x
  2. Step 2: Convert to fraction form
    752,964/1,468,092 = 1,468,092/x
  3. Step 3: Cross multiply
    752,964x = 1,468,092 × 1,468,092
  4. Step 4: Simplify right side
    752,964x = 2,155,294,120,464
  5. Step 5: Solve for x
    x = 2,155,294,120,464/752,964
  6. Step 6: Final answer
    x = 2,862,413.24

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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.