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Finding the Third Proportional to 409,889,845 and 892,557,563

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Solution

The third proportional to 409,889,845 and 892,557,563 is: 1,943,592,926.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,889,845 : 892,557,563 = 892,557,563 : x
  2. Step 2: Convert to fraction form
    409,889,845/892,557,563 = 892,557,563/x
  3. Step 3: Cross multiply
    409,889,845x = 892,557,563 × 892,557,563
  4. Step 4: Simplify right side
    409,889,845x = 796,659,003,268,498,944
  5. Step 5: Solve for x
    x = 796,659,003,268,498,944/409,889,845
  6. Step 6: Final answer
    x = 1,943,592,926.21

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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.