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Finding the Third Proportional to 673,334 and 1,441,249

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Solution

The third proportional to 673,334 and 1,441,249 is: 3,084,945.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,334 : 1,441,249 = 1,441,249 : x
  2. Step 2: Convert to fraction form
    673,334/1,441,249 = 1,441,249/x
  3. Step 3: Cross multiply
    673,334x = 1,441,249 × 1,441,249
  4. Step 4: Simplify right side
    673,334x = 2,077,198,680,001
  5. Step 5: Solve for x
    x = 2,077,198,680,001/673,334
  6. Step 6: Final answer
    x = 3,084,945.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.