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Finding the Third Proportional to 969,825 and 2,107,523

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Solution

The third proportional to 969,825 and 2,107,523 is: 4,579,850.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,825 : 2,107,523 = 2,107,523 : x
  2. Step 2: Convert to fraction form
    969,825/2,107,523 = 2,107,523/x
  3. Step 3: Cross multiply
    969,825x = 2,107,523 × 2,107,523
  4. Step 4: Simplify right side
    969,825x = 4,441,653,195,529
  5. Step 5: Solve for x
    x = 4,441,653,195,529/969,825
  6. Step 6: Final answer
    x = 4,579,850.17

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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.