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Finding the Third Proportional to 443,794 and 971,545

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Solution

The third proportional to 443,794 and 971,545 is: 2,126,886.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,794 : 971,545 = 971,545 : x
  2. Step 2: Convert to fraction form
    443,794/971,545 = 971,545/x
  3. Step 3: Cross multiply
    443,794x = 971,545 × 971,545
  4. Step 4: Simplify right side
    443,794x = 943,899,687,025
  5. Step 5: Solve for x
    x = 943,899,687,025/443,794
  6. Step 6: Final answer
    x = 2,126,886.99

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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.