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Finding the Third Proportional to 984,799 and 2,142,142.25

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Solution

The third proportional to 984,799 and 2,142,142.25 is: 4,659,604.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,799 : 2,142,142.25 = 2,142,142.25 : x
  2. Step 2: Convert to fraction form
    984,799/2,142,142.25 = 2,142,142.25/x
  3. Step 3: Cross multiply
    984,799x = 2,142,142.25 × 2,142,142.25
  4. Step 4: Simplify right side
    984,799x = 4,588,773,419,235.06
  5. Step 5: Solve for x
    x = 4,588,773,419,235.06/984,799
  6. Step 6: Final answer
    x = 4,659,604.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.