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Finding the Third Proportional to 467,037 and 989,605

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Solution

The third proportional to 467,037 and 989,605 is: 2,096,874.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,037 : 989,605 = 989,605 : x
  2. Step 2: Convert to fraction form
    467,037/989,605 = 989,605/x
  3. Step 3: Cross multiply
    467,037x = 989,605 × 989,605
  4. Step 4: Simplify right side
    467,037x = 979,318,056,025
  5. Step 5: Solve for x
    x = 979,318,056,025/467,037
  6. Step 6: Final answer
    x = 2,096,874.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.