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Finding the Third Proportional to 689,067.75 and 1,010,233.13

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Solution

The third proportional to 689,067.75 and 1,010,233.13 is: 1,481,089.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,067.75 : 1,010,233.13 = 1,010,233.13 : x
  2. Step 2: Convert to fraction form
    689,067.75/1,010,233.13 = 1,010,233.13/x
  3. Step 3: Cross multiply
    689,067.75x = 1,010,233.13 × 1,010,233.13
  4. Step 4: Simplify right side
    689,067.75x = 1,020,570,966,847.27
  5. Step 5: Solve for x
    x = 1,020,570,966,847.27/689,067.75
  6. Step 6: Final answer
    x = 1,481,089.44

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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.