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Finding the Third Proportional to 665,922 and 1,438,249

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Solution

The third proportional to 665,922 and 1,438,249 is: 3,106,310.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,922 : 1,438,249 = 1,438,249 : x
  2. Step 2: Convert to fraction form
    665,922/1,438,249 = 1,438,249/x
  3. Step 3: Cross multiply
    665,922x = 1,438,249 × 1,438,249
  4. Step 4: Simplify right side
    665,922x = 2,068,560,186,001
  5. Step 5: Solve for x
    x = 2,068,560,186,001/665,922
  6. Step 6: Final answer
    x = 3,106,310.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.