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Finding the Third Proportional to 419,311 and 920,994

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Solution

The third proportional to 419,311 and 920,994 is: 2,022,913.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,311 : 920,994 = 920,994 : x
  2. Step 2: Convert to fraction form
    419,311/920,994 = 920,994/x
  3. Step 3: Cross multiply
    419,311x = 920,994 × 920,994
  4. Step 4: Simplify right side
    419,311x = 848,229,948,036
  5. Step 5: Solve for x
    x = 848,229,948,036/419,311
  6. Step 6: Final answer
    x = 2,022,913.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.