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Finding the Third Proportional to 1,600,187 and 3,467,188

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Solution

The third proportional to 1,600,187 and 3,467,188 is: 7,512,492.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600,187 : 3,467,188 = 3,467,188 : x
  2. Step 2: Convert to fraction form
    1,600,187/3,467,188 = 3,467,188/x
  3. Step 3: Cross multiply
    1,600,187x = 3,467,188 × 3,467,188
  4. Step 4: Simplify right side
    1,600,187x = 12,021,392,627,344
  5. Step 5: Solve for x
    x = 12,021,392,627,344/1,600,187
  6. Step 6: Final answer
    x = 7,512,492.37

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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.