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Finding the Third Proportional to 984,858 and 2,116,839

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Solution

The third proportional to 984,858 and 2,116,839 is: 4,549,901.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,858 : 2,116,839 = 2,116,839 : x
  2. Step 2: Convert to fraction form
    984,858/2,116,839 = 2,116,839/x
  3. Step 3: Cross multiply
    984,858x = 2,116,839 × 2,116,839
  4. Step 4: Simplify right side
    984,858x = 4,481,007,351,921
  5. Step 5: Solve for x
    x = 4,481,007,351,921/984,858
  6. Step 6: Final answer
    x = 4,549,901.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.