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Finding the Third Proportional to 994,122 and 1,520,094

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Solution

The third proportional to 994,122 and 1,520,094 is: 2,324,348.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    994,122 : 1,520,094 = 1,520,094 : x
  2. Step 2: Convert to fraction form
    994,122/1,520,094 = 1,520,094/x
  3. Step 3: Cross multiply
    994,122x = 1,520,094 × 1,520,094
  4. Step 4: Simplify right side
    994,122x = 2,310,685,768,836
  5. Step 5: Solve for x
    x = 2,310,685,768,836/994,122
  6. Step 6: Final answer
    x = 2,324,348.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.