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Finding the Third Proportional to 447,600 and 994,656

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Solution

The third proportional to 447,600 and 994,656 is: 2,210,322.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,600 : 994,656 = 994,656 : x
  2. Step 2: Convert to fraction form
    447,600/994,656 = 994,656/x
  3. Step 3: Cross multiply
    447,600x = 994,656 × 994,656
  4. Step 4: Simplify right side
    447,600x = 989,340,558,336
  5. Step 5: Solve for x
    x = 989,340,558,336/447,600
  6. Step 6: Final answer
    x = 2,210,322.96

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.