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Finding the Third Proportional to 664,226 and 1,003,251

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Solution

The third proportional to 664,226 and 1,003,251 is: 1,515,316.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,226 : 1,003,251 = 1,003,251 : x
  2. Step 2: Convert to fraction form
    664,226/1,003,251 = 1,003,251/x
  3. Step 3: Cross multiply
    664,226x = 1,003,251 × 1,003,251
  4. Step 4: Simplify right side
    664,226x = 1,006,512,569,001
  5. Step 5: Solve for x
    x = 1,006,512,569,001/664,226
  6. Step 6: Final answer
    x = 1,515,316.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.