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Finding the Third Proportional to 447,037 and 969,763

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Solution

The third proportional to 447,037 and 969,763 is: 2,103,719.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,037 : 969,763 = 969,763 : x
  2. Step 2: Convert to fraction form
    447,037/969,763 = 969,763/x
  3. Step 3: Cross multiply
    447,037x = 969,763 × 969,763
  4. Step 4: Simplify right side
    447,037x = 940,440,276,169
  5. Step 5: Solve for x
    x = 940,440,276,169/447,037
  6. Step 6: Final answer
    x = 2,103,719.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.