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Finding the Third Proportional to 1,103,944.50 and 1,644,252.75

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Solution

The third proportional to 1,103,944.50 and 1,644,252.75 is: 2,449,006.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103,944.50 : 1,644,252.75 = 1,644,252.75 : x
  2. Step 2: Convert to fraction form
    1,103,944.50/1,644,252.75 = 1,644,252.75/x
  3. Step 3: Cross multiply
    1,103,944.50x = 1,644,252.75 × 1,644,252.75
  4. Step 4: Simplify right side
    1,103,944.50x = 2,703,567,105,882.56
  5. Step 5: Solve for x
    x = 2,703,567,105,882.56/1,103,944.50
  6. Step 6: Final answer
    x = 2,449,006.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.