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Finding the Third Proportional to 212,019 and 460,848

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Solution

The third proportional to 212,019 and 460,848 is: 1,001,706.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,019 : 460,848 = 460,848 : x
  2. Step 2: Convert to fraction form
    212,019/460,848 = 460,848/x
  3. Step 3: Cross multiply
    212,019x = 460,848 × 460,848
  4. Step 4: Simplify right side
    212,019x = 212,380,879,104
  5. Step 5: Solve for x
    x = 212,380,879,104/212,019
  6. Step 6: Final answer
    x = 1,001,706.82

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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.