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Finding the Third Proportional to 451,212.75 and 1,003,293

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Solution

The third proportional to 451,212.75 and 1,003,293 is: 2,230,869.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,212.75 : 1,003,293 = 1,003,293 : x
  2. Step 2: Convert to fraction form
    451,212.75/1,003,293 = 1,003,293/x
  3. Step 3: Cross multiply
    451,212.75x = 1,003,293 × 1,003,293
  4. Step 4: Simplify right side
    451,212.75x = 1,006,596,843,849
  5. Step 5: Solve for x
    x = 1,006,596,843,849/451,212.75
  6. Step 6: Final answer
    x = 2,230,869.68

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.