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Finding the Third Proportional to 1,204,510.50 and 1,605,825

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Solution

The third proportional to 1,204,510.50 and 1,605,825 is: 2,140,848.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204,510.50 : 1,605,825 = 1,605,825 : x
  2. Step 2: Convert to fraction form
    1,204,510.50/1,605,825 = 1,605,825/x
  3. Step 3: Cross multiply
    1,204,510.50x = 1,605,825 × 1,605,825
  4. Step 4: Simplify right side
    1,204,510.50x = 2,578,673,930,625
  5. Step 5: Solve for x
    x = 2,578,673,930,625/1,204,510.50
  6. Step 6: Final answer
    x = 2,140,848.03

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.