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Finding the Third Proportional to 1,653,797.25 and 3,560,967

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Solution

The third proportional to 1,653,797.25 and 3,560,967 is: 7,667,497.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653,797.25 : 3,560,967 = 3,560,967 : x
  2. Step 2: Convert to fraction form
    1,653,797.25/3,560,967 = 3,560,967/x
  3. Step 3: Cross multiply
    1,653,797.25x = 3,560,967 × 3,560,967
  4. Step 4: Simplify right side
    1,653,797.25x = 12,680,485,975,089
  5. Step 5: Solve for x
    x = 12,680,485,975,089/1,653,797.25
  6. Step 6: Final answer
    x = 7,667,497.32

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Why These Related Problems?

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