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Finding the Third Proportional to 1,427,724.75 and 1,957,797

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Solution

The third proportional to 1,427,724.75 and 1,957,797 is: 2,684,669.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427,724.75 : 1,957,797 = 1,957,797 : x
  2. Step 2: Convert to fraction form
    1,427,724.75/1,957,797 = 1,957,797/x
  3. Step 3: Cross multiply
    1,427,724.75x = 1,957,797 × 1,957,797
  4. Step 4: Simplify right side
    1,427,724.75x = 3,832,969,093,209
  5. Step 5: Solve for x
    x = 3,832,969,093,209/1,427,724.75
  6. Step 6: Final answer
    x = 2,684,669.50

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.