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Finding the Third Proportional to 694,378 and 1,522,164

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Solution

The third proportional to 694,378 and 1,522,164 is: 3,336,775.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,378 : 1,522,164 = 1,522,164 : x
  2. Step 2: Convert to fraction form
    694,378/1,522,164 = 1,522,164/x
  3. Step 3: Cross multiply
    694,378x = 1,522,164 × 1,522,164
  4. Step 4: Simplify right side
    694,378x = 2,316,983,242,896
  5. Step 5: Solve for x
    x = 2,316,983,242,896/694,378
  6. Step 6: Final answer
    x = 3,336,775.13

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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.