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Finding the Third Proportional to 2,135,174 and 4,664,331

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Solution

The third proportional to 2,135,174 and 4,664,331 is: 10,189,325.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135,174 : 4,664,331 = 4,664,331 : x
  2. Step 2: Convert to fraction form
    2,135,174/4,664,331 = 4,664,331/x
  3. Step 3: Cross multiply
    2,135,174x = 4,664,331 × 4,664,331
  4. Step 4: Simplify right side
    2,135,174x = 21,755,983,677,561
  5. Step 5: Solve for x
    x = 21,755,983,677,561/2,135,174
  6. Step 6: Final answer
    x = 10,189,325.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.