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Finding the Third Proportional to 815,782.50 and 1,749,663

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Solution

The third proportional to 815,782.50 and 1,749,663 is: 3,752,618.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,782.50 : 1,749,663 = 1,749,663 : x
  2. Step 2: Convert to fraction form
    815,782.50/1,749,663 = 1,749,663/x
  3. Step 3: Cross multiply
    815,782.50x = 1,749,663 × 1,749,663
  4. Step 4: Simplify right side
    815,782.50x = 3,061,320,613,569
  5. Step 5: Solve for x
    x = 3,061,320,613,569/815,782.50
  6. Step 6: Final answer
    x = 3,752,618.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.