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Finding the Third Proportional to 843,036.50 and 1,854,225

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Solution

The third proportional to 843,036.50 and 1,854,225 is: 4,078,293.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,036.50 : 1,854,225 = 1,854,225 : x
  2. Step 2: Convert to fraction form
    843,036.50/1,854,225 = 1,854,225/x
  3. Step 3: Cross multiply
    843,036.50x = 1,854,225 × 1,854,225
  4. Step 4: Simplify right side
    843,036.50x = 3,438,150,350,625
  5. Step 5: Solve for x
    x = 3,438,150,350,625/843,036.50
  6. Step 6: Final answer
    x = 4,078,293.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.