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Finding the Third Proportional to 733,419.56 and 1,167,015.09

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Solution

The third proportional to 733,419.56 and 1,167,015.09 is: 1,856,951.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,419.56 : 1,167,015.09 = 1,167,015.09 : x
  2. Step 2: Convert to fraction form
    733,419.56/1,167,015.09 = 1,167,015.09/x
  3. Step 3: Cross multiply
    733,419.56x = 1,167,015.09 × 1,167,015.09
  4. Step 4: Simplify right side
    733,419.56x = 1,361,924,229,040.32
  5. Step 5: Solve for x
    x = 1,361,924,229,040.32/733,419.56
  6. Step 6: Final answer
    x = 1,856,951.05

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.