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Finding the Third Proportional to 663,424 and 994,094

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Solution

The third proportional to 663,424 and 994,094 is: 1,489,579.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,424 : 994,094 = 994,094 : x
  2. Step 2: Convert to fraction form
    663,424/994,094 = 994,094/x
  3. Step 3: Cross multiply
    663,424x = 994,094 × 994,094
  4. Step 4: Simplify right side
    663,424x = 988,222,880,836
  5. Step 5: Solve for x
    x = 988,222,880,836/663,424
  6. Step 6: Final answer
    x = 1,489,579.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.