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Finding the Third Proportional to 435,809 and 948,812

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Solution

The third proportional to 435,809 and 948,812 is: 2,065,685.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,809 : 948,812 = 948,812 : x
  2. Step 2: Convert to fraction form
    435,809/948,812 = 948,812/x
  3. Step 3: Cross multiply
    435,809x = 948,812 × 948,812
  4. Step 4: Simplify right side
    435,809x = 900,244,211,344
  5. Step 5: Solve for x
    x = 900,244,211,344/435,809
  6. Step 6: Final answer
    x = 2,065,685.22

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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.