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Finding the Third Proportional to 736,836.75 and 1,613,945.25

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Solution

The third proportional to 736,836.75 and 1,613,945.25 is: 3,535,137.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,836.75 : 1,613,945.25 = 1,613,945.25 : x
  2. Step 2: Convert to fraction form
    736,836.75/1,613,945.25 = 1,613,945.25/x
  3. Step 3: Cross multiply
    736,836.75x = 1,613,945.25 × 1,613,945.25
  4. Step 4: Simplify right side
    736,836.75x = 2,604,819,269,997.56
  5. Step 5: Solve for x
    x = 2,604,819,269,997.56/736,836.75
  6. Step 6: Final answer
    x = 3,535,137.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.