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Finding the Third Proportional to 442,782 and 958,950

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Solution

The third proportional to 442,782 and 958,950 is: 2,076,834.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,782 : 958,950 = 958,950 : x
  2. Step 2: Convert to fraction form
    442,782/958,950 = 958,950/x
  3. Step 3: Cross multiply
    442,782x = 958,950 × 958,950
  4. Step 4: Simplify right side
    442,782x = 919,585,102,500
  5. Step 5: Solve for x
    x = 919,585,102,500/442,782
  6. Step 6: Final answer
    x = 2,076,834.88

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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.