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Finding the Third Proportional to 815,292 and 1,729,242

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Solution

The third proportional to 815,292 and 1,729,242 is: 3,667,738.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,292 : 1,729,242 = 1,729,242 : x
  2. Step 2: Convert to fraction form
    815,292/1,729,242 = 1,729,242/x
  3. Step 3: Cross multiply
    815,292x = 1,729,242 × 1,729,242
  4. Step 4: Simplify right side
    815,292x = 2,990,277,894,564
  5. Step 5: Solve for x
    x = 2,990,277,894,564/815,292
  6. Step 6: Final answer
    x = 3,667,738.55

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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.