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Finding the Third Proportional to 608,828 and 969,624

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Solution

The third proportional to 608,828 and 969,624 is: 1,544,230.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,828 : 969,624 = 969,624 : x
  2. Step 2: Convert to fraction form
    608,828/969,624 = 969,624/x
  3. Step 3: Cross multiply
    608,828x = 969,624 × 969,624
  4. Step 4: Simplify right side
    608,828x = 940,170,701,376
  5. Step 5: Solve for x
    x = 940,170,701,376/608,828
  6. Step 6: Final answer
    x = 1,544,230.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.