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Finding the Third Proportional to 763,686 and 1,508,094

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Solution

The third proportional to 763,686 and 1,508,094 is: 2,978,118.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,686 : 1,508,094 = 1,508,094 : x
  2. Step 2: Convert to fraction form
    763,686/1,508,094 = 1,508,094/x
  3. Step 3: Cross multiply
    763,686x = 1,508,094 × 1,508,094
  4. Step 4: Simplify right side
    763,686x = 2,274,347,512,836
  5. Step 5: Solve for x
    x = 2,274,347,512,836/763,686
  6. Step 6: Final answer
    x = 2,978,118.64

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.