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Finding the Third Proportional to 421,180 and 994,263

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Solution

The third proportional to 421,180 and 994,263 is: 2,347,117.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,180 : 994,263 = 994,263 : x
  2. Step 2: Convert to fraction form
    421,180/994,263 = 994,263/x
  3. Step 3: Cross multiply
    421,180x = 994,263 × 994,263
  4. Step 4: Simplify right side
    421,180x = 988,558,913,169
  5. Step 5: Solve for x
    x = 988,558,913,169/421,180
  6. Step 6: Final answer
    x = 2,347,117.42

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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.