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Finding the Third Proportional to 479,965 and 1,031,161

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Solution

The third proportional to 479,965 and 1,031,161 is: 2,215,355.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,965 : 1,031,161 = 1,031,161 : x
  2. Step 2: Convert to fraction form
    479,965/1,031,161 = 1,031,161/x
  3. Step 3: Cross multiply
    479,965x = 1,031,161 × 1,031,161
  4. Step 4: Simplify right side
    479,965x = 1,063,293,007,921
  5. Step 5: Solve for x
    x = 1,063,293,007,921/479,965
  6. Step 6: Final answer
    x = 2,215,355.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.