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Finding the Third Proportional to 791,656 and 1,610,960

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Solution

The third proportional to 791,656 and 1,610,960 is: 3,278,181.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,656 : 1,610,960 = 1,610,960 : x
  2. Step 2: Convert to fraction form
    791,656/1,610,960 = 1,610,960/x
  3. Step 3: Cross multiply
    791,656x = 1,610,960 × 1,610,960
  4. Step 4: Simplify right side
    791,656x = 2,595,192,121,600
  5. Step 5: Solve for x
    x = 2,595,192,121,600/791,656
  6. Step 6: Final answer
    x = 3,278,181.59

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.