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Finding the Third Proportional to 984,999 and 2,156,829

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Solution

The third proportional to 984,999 and 2,156,829 is: 4,722,757.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,999 : 2,156,829 = 2,156,829 : x
  2. Step 2: Convert to fraction form
    984,999/2,156,829 = 2,156,829/x
  3. Step 3: Cross multiply
    984,999x = 2,156,829 × 2,156,829
  4. Step 4: Simplify right side
    984,999x = 4,651,911,335,241
  5. Step 5: Solve for x
    x = 4,651,911,335,241/984,999
  6. Step 6: Final answer
    x = 4,722,757.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.