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Finding the Third Proportional to 853,638.75 and 1,785,685.50

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Solution

The third proportional to 853,638.75 and 1,785,685.50 is: 3,735,388.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,638.75 : 1,785,685.50 = 1,785,685.50 : x
  2. Step 2: Convert to fraction form
    853,638.75/1,785,685.50 = 1,785,685.50/x
  3. Step 3: Cross multiply
    853,638.75x = 1,785,685.50 × 1,785,685.50
  4. Step 4: Simplify right side
    853,638.75x = 3,188,672,704,910.25
  5. Step 5: Solve for x
    x = 3,188,672,704,910.25/853,638.75
  6. Step 6: Final answer
    x = 3,735,388.89

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.