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Finding the Third Proportional to 648,231.75 and 1,400,326.88

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Solution

The third proportional to 648,231.75 and 1,400,326.88 is: 3,025,022.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,231.75 : 1,400,326.88 = 1,400,326.88 : x
  2. Step 2: Convert to fraction form
    648,231.75/1,400,326.88 = 1,400,326.88/x
  3. Step 3: Cross multiply
    648,231.75x = 1,400,326.88 × 1,400,326.88
  4. Step 4: Simplify right side
    648,231.75x = 1,960,915,356,847.27
  5. Step 5: Solve for x
    x = 1,960,915,356,847.27/648,231.75
  6. Step 6: Final answer
    x = 3,025,022.08

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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.