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Finding the Third Proportional to 421,186 and 994,277

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Solution

The third proportional to 421,186 and 994,277 is: 2,347,150.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,186 : 994,277 = 994,277 : x
  2. Step 2: Convert to fraction form
    421,186/994,277 = 994,277/x
  3. Step 3: Cross multiply
    421,186x = 994,277 × 994,277
  4. Step 4: Simplify right side
    421,186x = 988,586,752,729
  5. Step 5: Solve for x
    x = 988,586,752,729/421,186
  6. Step 6: Final answer
    x = 2,347,150.08

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.