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Finding the Third Proportional to 591,714 and 1,277,979.75

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Solution

The third proportional to 591,714 and 1,277,979.75 is: 2,760,171.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,714 : 1,277,979.75 = 1,277,979.75 : x
  2. Step 2: Convert to fraction form
    591,714/1,277,979.75 = 1,277,979.75/x
  3. Step 3: Cross multiply
    591,714x = 1,277,979.75 × 1,277,979.75
  4. Step 4: Simplify right side
    591,714x = 1,633,232,241,410.06
  5. Step 5: Solve for x
    x = 1,633,232,241,410.06/591,714
  6. Step 6: Final answer
    x = 2,760,171.71

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