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Finding the Third Proportional to 443,085 and 966,366

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Solution

The third proportional to 443,085 and 966,366 is: 2,107,639.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,085 : 966,366 = 966,366 : x
  2. Step 2: Convert to fraction form
    443,085/966,366 = 966,366/x
  3. Step 3: Cross multiply
    443,085x = 966,366 × 966,366
  4. Step 4: Simplify right side
    443,085x = 933,863,245,956
  5. Step 5: Solve for x
    x = 933,863,245,956/443,085
  6. Step 6: Final answer
    x = 2,107,639.04

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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.