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Finding the Third Proportional to 815,034 and 1,791,416

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Solution

The third proportional to 815,034 and 1,791,416 is: 3,937,469.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,034 : 1,791,416 = 1,791,416 : x
  2. Step 2: Convert to fraction form
    815,034/1,791,416 = 1,791,416/x
  3. Step 3: Cross multiply
    815,034x = 1,791,416 × 1,791,416
  4. Step 4: Simplify right side
    815,034x = 3,209,171,285,056
  5. Step 5: Solve for x
    x = 3,209,171,285,056/815,034
  6. Step 6: Final answer
    x = 3,937,469.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.