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Finding the Third Proportional to 757,932.19 and 1,644,598.69

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Solution

The third proportional to 757,932.19 and 1,644,598.69 is: 3,568,531.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,932.19 : 1,644,598.69 = 1,644,598.69 : x
  2. Step 2: Convert to fraction form
    757,932.19/1,644,598.69 = 1,644,598.69/x
  3. Step 3: Cross multiply
    757,932.19x = 1,644,598.69 × 1,644,598.69
  4. Step 4: Simplify right side
    757,932.19x = 2,704,704,842,926.72
  5. Step 5: Solve for x
    x = 2,704,704,842,926.72/757,932.19
  6. Step 6: Final answer
    x = 3,568,531.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.