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Finding the Third Proportional to 443,540 and 953,500

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Solution

The third proportional to 443,540 and 953,500 is: 2,049,786.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,540 : 953,500 = 953,500 : x
  2. Step 2: Convert to fraction form
    443,540/953,500 = 953,500/x
  3. Step 3: Cross multiply
    443,540x = 953,500 × 953,500
  4. Step 4: Simplify right side
    443,540x = 909,162,250,000
  5. Step 5: Solve for x
    x = 909,162,250,000/443,540
  6. Step 6: Final answer
    x = 2,049,786.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.