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Finding the Third Proportional to 424,096 and 922,994

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Solution

The third proportional to 424,096 and 922,994 is: 2,008,785.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,096 : 922,994 = 922,994 : x
  2. Step 2: Convert to fraction form
    424,096/922,994 = 922,994/x
  3. Step 3: Cross multiply
    424,096x = 922,994 × 922,994
  4. Step 4: Simplify right side
    424,096x = 851,917,924,036
  5. Step 5: Solve for x
    x = 851,917,924,036/424,096
  6. Step 6: Final answer
    x = 2,008,785.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.