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Finding the Third Proportional to 971,248 and 2,135,227

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Solution

The third proportional to 971,248 and 2,135,227 is: 4,694,160.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,248 : 2,135,227 = 2,135,227 : x
  2. Step 2: Convert to fraction form
    971,248/2,135,227 = 2,135,227/x
  3. Step 3: Cross multiply
    971,248x = 2,135,227 × 2,135,227
  4. Step 4: Simplify right side
    971,248x = 4,559,194,341,529
  5. Step 5: Solve for x
    x = 4,559,194,341,529/971,248
  6. Step 6: Final answer
    x = 4,694,160.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.