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Finding the Third Proportional to 2,019,152 and 4,322,125

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Solution

The third proportional to 2,019,152 and 4,322,125 is: 9,251,787.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019,152 : 4,322,125 = 4,322,125 : x
  2. Step 2: Convert to fraction form
    2,019,152/4,322,125 = 4,322,125/x
  3. Step 3: Cross multiply
    2,019,152x = 4,322,125 × 4,322,125
  4. Step 4: Simplify right side
    2,019,152x = 18,680,764,515,625
  5. Step 5: Solve for x
    x = 18,680,764,515,625/2,019,152
  6. Step 6: Final answer
    x = 9,251,787.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.