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Finding the Third Proportional to 1,284,268.50 and 1,889,163

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Solution

The third proportional to 1,284,268.50 and 1,889,163 is: 2,778,964.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284,268.50 : 1,889,163 = 1,889,163 : x
  2. Step 2: Convert to fraction form
    1,284,268.50/1,889,163 = 1,889,163/x
  3. Step 3: Cross multiply
    1,284,268.50x = 1,889,163 × 1,889,163
  4. Step 4: Simplify right side
    1,284,268.50x = 3,568,936,840,569
  5. Step 5: Solve for x
    x = 3,568,936,840,569/1,284,268.50
  6. Step 6: Final answer
    x = 2,778,964.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.