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Finding the Third Proportional to 789,727 and 1,154,974

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Solution

The third proportional to 789,727 and 1,154,974 is: 1,689,146.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,727 : 1,154,974 = 1,154,974 : x
  2. Step 2: Convert to fraction form
    789,727/1,154,974 = 1,154,974/x
  3. Step 3: Cross multiply
    789,727x = 1,154,974 × 1,154,974
  4. Step 4: Simplify right side
    789,727x = 1,333,964,940,676
  5. Step 5: Solve for x
    x = 1,333,964,940,676/789,727
  6. Step 6: Final answer
    x = 1,689,146.93

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.