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Finding the Third Proportional to 447,376 and 994,208

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Solution

The third proportional to 447,376 and 994,208 is: 2,209,438.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,376 : 994,208 = 994,208 : x
  2. Step 2: Convert to fraction form
    447,376/994,208 = 994,208/x
  3. Step 3: Cross multiply
    447,376x = 994,208 × 994,208
  4. Step 4: Simplify right side
    447,376x = 988,449,547,264
  5. Step 5: Solve for x
    x = 988,449,547,264/447,376
  6. Step 6: Final answer
    x = 2,209,438.03

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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.