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Finding the Third Proportional to 950,613.75 and 2,113,764.75

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Solution

The third proportional to 950,613.75 and 2,113,764.75 is: 4,700,122.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    950,613.75 : 2,113,764.75 = 2,113,764.75 : x
  2. Step 2: Convert to fraction form
    950,613.75/2,113,764.75 = 2,113,764.75/x
  3. Step 3: Cross multiply
    950,613.75x = 2,113,764.75 × 2,113,764.75
  4. Step 4: Simplify right side
    950,613.75x = 4,468,001,418,342.56
  5. Step 5: Solve for x
    x = 4,468,001,418,342.56/950,613.75
  6. Step 6: Final answer
    x = 4,700,122.86

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.