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Finding the Third Proportional to 769,921 and 1,588,624

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Solution

The third proportional to 769,921 and 1,588,624 is: 3,277,902.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,921 : 1,588,624 = 1,588,624 : x
  2. Step 2: Convert to fraction form
    769,921/1,588,624 = 1,588,624/x
  3. Step 3: Cross multiply
    769,921x = 1,588,624 × 1,588,624
  4. Step 4: Simplify right side
    769,921x = 2,523,726,213,376
  5. Step 5: Solve for x
    x = 2,523,726,213,376/769,921
  6. Step 6: Final answer
    x = 3,277,902.82

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.