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Finding the Third Proportional to 447,668 and 971,036

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Solution

The third proportional to 447,668 and 971,036 is: 2,106,272.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,668 : 971,036 = 971,036 : x
  2. Step 2: Convert to fraction form
    447,668/971,036 = 971,036/x
  3. Step 3: Cross multiply
    447,668x = 971,036 × 971,036
  4. Step 4: Simplify right side
    447,668x = 942,910,913,296
  5. Step 5: Solve for x
    x = 942,910,913,296/447,668
  6. Step 6: Final answer
    x = 2,106,272.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.