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Finding the Third Proportional to 686,832.75 and 1,510,693.88

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Solution

The third proportional to 686,832.75 and 1,510,693.88 is: 3,322,782.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,832.75 : 1,510,693.88 = 1,510,693.88 : x
  2. Step 2: Convert to fraction form
    686,832.75/1,510,693.88 = 1,510,693.88/x
  3. Step 3: Cross multiply
    686,832.75x = 1,510,693.88 × 1,510,693.88
  4. Step 4: Simplify right side
    686,832.75x = 2,282,195,983,962.52
  5. Step 5: Solve for x
    x = 2,282,195,983,962.52/686,832.75
  6. Step 6: Final answer
    x = 3,322,782.71

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.