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Finding the Third Proportional to 826,909.50 and 1,245,204

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Solution

The third proportional to 826,909.50 and 1,245,204 is: 1,875,093.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,909.50 : 1,245,204 = 1,245,204 : x
  2. Step 2: Convert to fraction form
    826,909.50/1,245,204 = 1,245,204/x
  3. Step 3: Cross multiply
    826,909.50x = 1,245,204 × 1,245,204
  4. Step 4: Simplify right side
    826,909.50x = 1,550,533,001,616
  5. Step 5: Solve for x
    x = 1,550,533,001,616/826,909.50
  6. Step 6: Final answer
    x = 1,875,093.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.