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Finding the Third Proportional to 443,142 and 966,484

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Solution

The third proportional to 443,142 and 966,484 is: 2,107,882.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,142 : 966,484 = 966,484 : x
  2. Step 2: Convert to fraction form
    443,142/966,484 = 966,484/x
  3. Step 3: Cross multiply
    443,142x = 966,484 × 966,484
  4. Step 4: Simplify right side
    443,142x = 934,091,322,256
  5. Step 5: Solve for x
    x = 934,091,322,256/443,142
  6. Step 6: Final answer
    x = 2,107,882.63

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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.