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Finding the Third Proportional to 859,435.13 and 1,789,470.75

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Solution

The third proportional to 859,435.13 and 1,789,470.75 is: 3,725,942.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    859,435.13 : 1,789,470.75 = 1,789,470.75 : x
  2. Step 2: Convert to fraction form
    859,435.13/1,789,470.75 = 1,789,470.75/x
  3. Step 3: Cross multiply
    859,435.13x = 1,789,470.75 × 1,789,470.75
  4. Step 4: Simplify right side
    859,435.13x = 3,202,205,565,105.56
  5. Step 5: Solve for x
    x = 3,202,205,565,105.56/859,435.13
  6. Step 6: Final answer
    x = 3,725,942.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.