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Finding the Third Proportional to 443,048 and 1,040,156

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Solution

The third proportional to 443,048 and 1,040,156 is: 2,442,002.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,048 : 1,040,156 = 1,040,156 : x
  2. Step 2: Convert to fraction form
    443,048/1,040,156 = 1,040,156/x
  3. Step 3: Cross multiply
    443,048x = 1,040,156 × 1,040,156
  4. Step 4: Simplify right side
    443,048x = 1,081,924,504,336
  5. Step 5: Solve for x
    x = 1,081,924,504,336/443,048
  6. Step 6: Final answer
    x = 2,442,002.91

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.