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Finding the Third Proportional to 677,974.88 and 1,025,709.75

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Solution

The third proportional to 677,974.88 and 1,025,709.75 is: 1,551,798.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,974.88 : 1,025,709.75 = 1,025,709.75 : x
  2. Step 2: Convert to fraction form
    677,974.88/1,025,709.75 = 1,025,709.75/x
  3. Step 3: Cross multiply
    677,974.88x = 1,025,709.75 × 1,025,709.75
  4. Step 4: Simplify right side
    677,974.88x = 1,052,080,491,245.06
  5. Step 5: Solve for x
    x = 1,052,080,491,245.06/677,974.88
  6. Step 6: Final answer
    x = 1,551,798.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.