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Finding the Third Proportional to 1,542,586.50 and 3,350,529

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Solution

The third proportional to 1,542,586.50 and 3,350,529 is: 7,277,416.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542,586.50 : 3,350,529 = 3,350,529 : x
  2. Step 2: Convert to fraction form
    1,542,586.50/3,350,529 = 3,350,529/x
  3. Step 3: Cross multiply
    1,542,586.50x = 3,350,529 × 3,350,529
  4. Step 4: Simplify right side
    1,542,586.50x = 11,226,044,579,841
  5. Step 5: Solve for x
    x = 11,226,044,579,841/1,542,586.50
  6. Step 6: Final answer
    x = 7,277,416.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.