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Finding the Third Proportional to 769,324.50 and 1,656,963

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Solution

The third proportional to 769,324.50 and 1,656,963 is: 3,568,749.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,324.50 : 1,656,963 = 1,656,963 : x
  2. Step 2: Convert to fraction form
    769,324.50/1,656,963 = 1,656,963/x
  3. Step 3: Cross multiply
    769,324.50x = 1,656,963 × 1,656,963
  4. Step 4: Simplify right side
    769,324.50x = 2,745,526,383,369
  5. Step 5: Solve for x
    x = 2,745,526,383,369/769,324.50
  6. Step 6: Final answer
    x = 3,568,749.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.