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Finding the Third Proportional to 608,814 and 969,598

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Solution

The third proportional to 608,814 and 969,598 is: 1,544,183.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,814 : 969,598 = 969,598 : x
  2. Step 2: Convert to fraction form
    608,814/969,598 = 969,598/x
  3. Step 3: Cross multiply
    608,814x = 969,598 × 969,598
  4. Step 4: Simplify right side
    608,814x = 940,120,281,604
  5. Step 5: Solve for x
    x = 940,120,281,604/608,814
  6. Step 6: Final answer
    x = 1,544,183.09

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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.