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Finding the Third Proportional to 961,067 and 2,113,983

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Solution

The third proportional to 961,067 and 2,113,983 is: 4,649,961.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,067 : 2,113,983 = 2,113,983 : x
  2. Step 2: Convert to fraction form
    961,067/2,113,983 = 2,113,983/x
  3. Step 3: Cross multiply
    961,067x = 2,113,983 × 2,113,983
  4. Step 4: Simplify right side
    961,067x = 4,468,924,124,289
  5. Step 5: Solve for x
    x = 4,468,924,124,289/961,067
  6. Step 6: Final answer
    x = 4,649,961.06

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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.