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Finding the Third Proportional to 443,256 and 944,436

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Solution

The third proportional to 443,256 and 944,436 is: 2,012,289.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,256 : 944,436 = 944,436 : x
  2. Step 2: Convert to fraction form
    443,256/944,436 = 944,436/x
  3. Step 3: Cross multiply
    443,256x = 944,436 × 944,436
  4. Step 4: Simplify right side
    443,256x = 891,959,358,096
  5. Step 5: Solve for x
    x = 891,959,358,096/443,256
  6. Step 6: Final answer
    x = 2,012,289.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.