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Finding the Third Proportional to 2,194,878 and 3,377,914.50

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Solution

The third proportional to 2,194,878 and 3,377,914.50 is: 5,198,606.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194,878 : 3,377,914.50 = 3,377,914.50 : x
  2. Step 2: Convert to fraction form
    2,194,878/3,377,914.50 = 3,377,914.50/x
  3. Step 3: Cross multiply
    2,194,878x = 3,377,914.50 × 3,377,914.50
  4. Step 4: Simplify right side
    2,194,878x = 11,410,306,369,310.25
  5. Step 5: Solve for x
    x = 11,410,306,369,310.25/2,194,878
  6. Step 6: Final answer
    x = 5,198,606.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.