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Finding the Third Proportional to 618,833.25 and 984,632.63

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Solution

The third proportional to 618,833.25 and 984,632.63 is: 1,566,660.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,833.25 : 984,632.63 = 984,632.63 : x
  2. Step 2: Convert to fraction form
    618,833.25/984,632.63 = 984,632.63/x
  3. Step 3: Cross multiply
    618,833.25x = 984,632.63 × 984,632.63
  4. Step 4: Simplify right side
    618,833.25x = 969,501,406,214.39
  5. Step 5: Solve for x
    x = 969,501,406,214.39/618,833.25
  6. Step 6: Final answer
    x = 1,566,660.17

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.