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Finding the Third Proportional to 721,926 and 1,461,375

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Solution

The third proportional to 721,926 and 1,461,375 is: 2,958,221.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,926 : 1,461,375 = 1,461,375 : x
  2. Step 2: Convert to fraction form
    721,926/1,461,375 = 1,461,375/x
  3. Step 3: Cross multiply
    721,926x = 1,461,375 × 1,461,375
  4. Step 4: Simplify right side
    721,926x = 2,135,616,890,625
  5. Step 5: Solve for x
    x = 2,135,616,890,625/721,926
  6. Step 6: Final answer
    x = 2,958,221.33

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.