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Finding the Third Proportional to 1,197,714 and 2,561,380

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Solution

The third proportional to 1,197,714 and 2,561,380 is: 5,477,657.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197,714 : 2,561,380 = 2,561,380 : x
  2. Step 2: Convert to fraction form
    1,197,714/2,561,380 = 2,561,380/x
  3. Step 3: Cross multiply
    1,197,714x = 2,561,380 × 2,561,380
  4. Step 4: Simplify right side
    1,197,714x = 6,560,667,504,400
  5. Step 5: Solve for x
    x = 6,560,667,504,400/1,197,714
  6. Step 6: Final answer
    x = 5,477,657.86

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.