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Finding the Third Proportional to 836,406 and 1,780,704

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Solution

The third proportional to 836,406 and 1,780,704 is: 3,791,109.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,406 : 1,780,704 = 1,780,704 : x
  2. Step 2: Convert to fraction form
    836,406/1,780,704 = 1,780,704/x
  3. Step 3: Cross multiply
    836,406x = 1,780,704 × 1,780,704
  4. Step 4: Simplify right side
    836,406x = 3,170,906,735,616
  5. Step 5: Solve for x
    x = 3,170,906,735,616/836,406
  6. Step 6: Final answer
    x = 3,791,109.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.