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Finding the Third Proportional to 1,251,512 and 2,561,344

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Solution

The third proportional to 1,251,512 and 2,561,344 is: 5,242,045.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251,512 : 2,561,344 = 2,561,344 : x
  2. Step 2: Convert to fraction form
    1,251,512/2,561,344 = 2,561,344/x
  3. Step 3: Cross multiply
    1,251,512x = 2,561,344 × 2,561,344
  4. Step 4: Simplify right side
    1,251,512x = 6,560,483,086,336
  5. Step 5: Solve for x
    x = 6,560,483,086,336/1,251,512
  6. Step 6: Final answer
    x = 5,242,045.69

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.