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Finding the Third Proportional to 755,785.69 and 1,133,205.19

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Solution

The third proportional to 755,785.69 and 1,133,205.19 is: 1,699,098.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,785.69 : 1,133,205.19 = 1,133,205.19 : x
  2. Step 2: Convert to fraction form
    755,785.69/1,133,205.19 = 1,133,205.19/x
  3. Step 3: Cross multiply
    755,785.69x = 1,133,205.19 × 1,133,205.19
  4. Step 4: Simplify right side
    755,785.69x = 1,284,153,996,976.91
  5. Step 5: Solve for x
    x = 1,284,153,996,976.91/755,785.69
  6. Step 6: Final answer
    x = 1,699,098.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.