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Finding the Third Proportional to 791,443 and 1,610,832

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Solution

The third proportional to 791,443 and 1,610,832 is: 3,278,542.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,443 : 1,610,832 = 1,610,832 : x
  2. Step 2: Convert to fraction form
    791,443/1,610,832 = 1,610,832/x
  3. Step 3: Cross multiply
    791,443x = 1,610,832 × 1,610,832
  4. Step 4: Simplify right side
    791,443x = 2,594,779,732,224
  5. Step 5: Solve for x
    x = 2,594,779,732,224/791,443
  6. Step 6: Final answer
    x = 3,278,542.78

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.