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Finding the Third Proportional to 694,380 and 1,522,168

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Solution

The third proportional to 694,380 and 1,522,168 is: 3,336,783.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,380 : 1,522,168 = 1,522,168 : x
  2. Step 2: Convert to fraction form
    694,380/1,522,168 = 1,522,168/x
  3. Step 3: Cross multiply
    694,380x = 1,522,168 × 1,522,168
  4. Step 4: Simplify right side
    694,380x = 2,316,995,420,224
  5. Step 5: Solve for x
    x = 2,316,995,420,224/694,380
  6. Step 6: Final answer
    x = 3,336,783.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.