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Finding the Third Proportional to 751,011.75 and 1,664,178.75

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Solution

The third proportional to 751,011.75 and 1,664,178.75 is: 3,687,679.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,011.75 : 1,664,178.75 = 1,664,178.75 : x
  2. Step 2: Convert to fraction form
    751,011.75/1,664,178.75 = 1,664,178.75/x
  3. Step 3: Cross multiply
    751,011.75x = 1,664,178.75 × 1,664,178.75
  4. Step 4: Simplify right side
    751,011.75x = 2,769,490,911,951.56
  5. Step 5: Solve for x
    x = 2,769,490,911,951.56/751,011.75
  6. Step 6: Final answer
    x = 3,687,679.87

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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.