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Finding the Third Proportional to 999,744.75 and 1,428,635.25

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Solution

The third proportional to 999,744.75 and 1,428,635.25 is: 2,041,519.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    999,744.75 : 1,428,635.25 = 1,428,635.25 : x
  2. Step 2: Convert to fraction form
    999,744.75/1,428,635.25 = 1,428,635.25/x
  3. Step 3: Cross multiply
    999,744.75x = 1,428,635.25 × 1,428,635.25
  4. Step 4: Simplify right side
    999,744.75x = 2,040,998,677,542.56
  5. Step 5: Solve for x
    x = 2,040,998,677,542.56/999,744.75
  6. Step 6: Final answer
    x = 2,041,519.78

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.