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Finding the Third Proportional to 653,447.25 and 1,415,493

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Solution

The third proportional to 653,447.25 and 1,415,493 is: 3,066,231.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,447.25 : 1,415,493 = 1,415,493 : x
  2. Step 2: Convert to fraction form
    653,447.25/1,415,493 = 1,415,493/x
  3. Step 3: Cross multiply
    653,447.25x = 1,415,493 × 1,415,493
  4. Step 4: Simplify right side
    653,447.25x = 2,003,620,433,049
  5. Step 5: Solve for x
    x = 2,003,620,433,049/653,447.25
  6. Step 6: Final answer
    x = 3,066,231.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.