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Finding the Third Proportional to 2,053,462.50 and 3,192,201

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Solution

The third proportional to 2,053,462.50 and 3,192,201 is: 4,962,421.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053,462.50 : 3,192,201 = 3,192,201 : x
  2. Step 2: Convert to fraction form
    2,053,462.50/3,192,201 = 3,192,201/x
  3. Step 3: Cross multiply
    2,053,462.50x = 3,192,201 × 3,192,201
  4. Step 4: Simplify right side
    2,053,462.50x = 10,190,147,224,401
  5. Step 5: Solve for x
    x = 10,190,147,224,401/2,053,462.50
  6. Step 6: Final answer
    x = 4,962,421.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.