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Finding the Third Proportional to 1,600,195.50 and 3,467,205

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Solution

The third proportional to 1,600,195.50 and 3,467,205 is: 7,512,526.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600,195.50 : 3,467,205 = 3,467,205 : x
  2. Step 2: Convert to fraction form
    1,600,195.50/3,467,205 = 3,467,205/x
  3. Step 3: Cross multiply
    1,600,195.50x = 3,467,205 × 3,467,205
  4. Step 4: Simplify right side
    1,600,195.50x = 12,021,510,512,025
  5. Step 5: Solve for x
    x = 12,021,510,512,025/1,600,195.50
  6. Step 6: Final answer
    x = 7,512,526.13

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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.