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Finding the Third Proportional to 443,074 and 971,930

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Solution

The third proportional to 443,074 and 971,930 is: 2,132,031.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,074 : 971,930 = 971,930 : x
  2. Step 2: Convert to fraction form
    443,074/971,930 = 971,930/x
  3. Step 3: Cross multiply
    443,074x = 971,930 × 971,930
  4. Step 4: Simplify right side
    443,074x = 944,647,924,900
  5. Step 5: Solve for x
    x = 944,647,924,900/443,074
  6. Step 6: Final answer
    x = 2,132,031.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.