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Finding the Third Proportional to 965,639.25 and 2,078,536.50

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Solution

The third proportional to 965,639.25 and 2,078,536.50 is: 4,474,045.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,639.25 : 2,078,536.50 = 2,078,536.50 : x
  2. Step 2: Convert to fraction form
    965,639.25/2,078,536.50 = 2,078,536.50/x
  3. Step 3: Cross multiply
    965,639.25x = 2,078,536.50 × 2,078,536.50
  4. Step 4: Simplify right side
    965,639.25x = 4,320,313,981,832.25
  5. Step 5: Solve for x
    x = 4,320,313,981,832.25/965,639.25
  6. Step 6: Final answer
    x = 4,474,045.54

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