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Finding the Third Proportional to 611,714 and 1,317,172

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Solution

The third proportional to 611,714 and 1,317,172 is: 2,836,198.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,714 : 1,317,172 = 1,317,172 : x
  2. Step 2: Convert to fraction form
    611,714/1,317,172 = 1,317,172/x
  3. Step 3: Cross multiply
    611,714x = 1,317,172 × 1,317,172
  4. Step 4: Simplify right side
    611,714x = 1,734,942,077,584
  5. Step 5: Solve for x
    x = 1,734,942,077,584/611,714
  6. Step 6: Final answer
    x = 2,836,198.09

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