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Finding the Third Proportional to 608,380 and 1,356,512

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Solution

The third proportional to 608,380 and 1,356,512 is: 3,024,630.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,380 : 1,356,512 = 1,356,512 : x
  2. Step 2: Convert to fraction form
    608,380/1,356,512 = 1,356,512/x
  3. Step 3: Cross multiply
    608,380x = 1,356,512 × 1,356,512
  4. Step 4: Simplify right side
    608,380x = 1,840,124,806,144
  5. Step 5: Solve for x
    x = 1,840,124,806,144/608,380
  6. Step 6: Final answer
    x = 3,024,630.67

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.