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Finding the Third Proportional to 443,124 and 966,450

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Solution

The third proportional to 443,124 and 966,450 is: 2,107,819.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,124 : 966,450 = 966,450 : x
  2. Step 2: Convert to fraction form
    443,124/966,450 = 966,450/x
  3. Step 3: Cross multiply
    443,124x = 966,450 × 966,450
  4. Step 4: Simplify right side
    443,124x = 934,025,602,500
  5. Step 5: Solve for x
    x = 934,025,602,500/443,124
  6. Step 6: Final answer
    x = 2,107,819.94

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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.