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Finding the Third Proportional to 452,880 and 969,182

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Solution

The third proportional to 452,880 and 969,182 is: 2,074,089.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,880 : 969,182 = 969,182 : x
  2. Step 2: Convert to fraction form
    452,880/969,182 = 969,182/x
  3. Step 3: Cross multiply
    452,880x = 969,182 × 969,182
  4. Step 4: Simplify right side
    452,880x = 939,313,749,124
  5. Step 5: Solve for x
    x = 939,313,749,124/452,880
  6. Step 6: Final answer
    x = 2,074,089.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.