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Finding the Third Proportional to 824,775.75 and 1,749,105.56

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Solution

The third proportional to 824,775.75 and 1,749,105.56 is: 3,709,335.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,775.75 : 1,749,105.56 = 1,749,105.56 : x
  2. Step 2: Convert to fraction form
    824,775.75/1,749,105.56 = 1,749,105.56/x
  3. Step 3: Cross multiply
    824,775.75x = 1,749,105.56 × 1,749,105.56
  4. Step 4: Simplify right side
    824,775.75x = 3,059,370,268,768.44
  5. Step 5: Solve for x
    x = 3,059,370,268,768.44/824,775.75
  6. Step 6: Final answer
    x = 3,709,335.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.