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Finding the Third Proportional to 421,500 and 994,968

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Solution

The third proportional to 421,500 and 994,968 is: 2,348,662.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,500 : 994,968 = 994,968 : x
  2. Step 2: Convert to fraction form
    421,500/994,968 = 994,968/x
  3. Step 3: Cross multiply
    421,500x = 994,968 × 994,968
  4. Step 4: Simplify right side
    421,500x = 989,961,321,024
  5. Step 5: Solve for x
    x = 989,961,321,024/421,500
  6. Step 6: Final answer
    x = 2,348,662.68

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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.