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Finding the Third Proportional to 618,827.25 and 984,675.38

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Solution

The third proportional to 618,827.25 and 984,675.38 is: 1,566,811.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,827.25 : 984,675.38 = 984,675.38 : x
  2. Step 2: Convert to fraction form
    618,827.25/984,675.38 = 984,675.38/x
  3. Step 3: Cross multiply
    618,827.25x = 984,675.38 × 984,675.38
  4. Step 4: Simplify right side
    618,827.25x = 969,585,594,131.39
  5. Step 5: Solve for x
    x = 969,585,594,131.39/618,827.25
  6. Step 6: Final answer
    x = 1,566,811.41

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Why These Related Problems?

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