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Finding the Third Proportional to 1,061,233.50 and 1,500,201

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Solution

The third proportional to 1,061,233.50 and 1,500,201 is: 2,120,742.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061,233.50 : 1,500,201 = 1,500,201 : x
  2. Step 2: Convert to fraction form
    1,061,233.50/1,500,201 = 1,500,201/x
  3. Step 3: Cross multiply
    1,061,233.50x = 1,500,201 × 1,500,201
  4. Step 4: Simplify right side
    1,061,233.50x = 2,250,603,040,401
  5. Step 5: Solve for x
    x = 2,250,603,040,401/1,061,233.50
  6. Step 6: Final answer
    x = 2,120,742.55

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.