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Finding the Third Proportional to 443,090 and 966,376

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Solution

The third proportional to 443,090 and 966,376 is: 2,107,658.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,090 : 966,376 = 966,376 : x
  2. Step 2: Convert to fraction form
    443,090/966,376 = 966,376/x
  3. Step 3: Cross multiply
    443,090x = 966,376 × 966,376
  4. Step 4: Simplify right side
    443,090x = 933,882,573,376
  5. Step 5: Solve for x
    x = 933,882,573,376/443,090
  6. Step 6: Final answer
    x = 2,107,658.88

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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.