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Finding the Third Proportional to 600,288 and 1,311,168

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Solution

The third proportional to 600,288 and 1,311,168 is: 2,863,894.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,288 : 1,311,168 = 1,311,168 : x
  2. Step 2: Convert to fraction form
    600,288/1,311,168 = 1,311,168/x
  3. Step 3: Cross multiply
    600,288x = 1,311,168 × 1,311,168
  4. Step 4: Simplify right side
    600,288x = 1,719,161,524,224
  5. Step 5: Solve for x
    x = 1,719,161,524,224/600,288
  6. Step 6: Final answer
    x = 2,863,894.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.