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Finding the Third Proportional to 444,880 and 968,096

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Solution

The third proportional to 444,880 and 968,096 is: 2,106,657.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,880 : 968,096 = 968,096 : x
  2. Step 2: Convert to fraction form
    444,880/968,096 = 968,096/x
  3. Step 3: Cross multiply
    444,880x = 968,096 × 968,096
  4. Step 4: Simplify right side
    444,880x = 937,209,865,216
  5. Step 5: Solve for x
    x = 937,209,865,216/444,880
  6. Step 6: Final answer
    x = 2,106,657.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.