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Finding the Third Proportional to 949,170 and 2,047,512

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Solution

The third proportional to 949,170 and 2,047,512 is: 4,416,811.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    949,170 : 2,047,512 = 2,047,512 : x
  2. Step 2: Convert to fraction form
    949,170/2,047,512 = 2,047,512/x
  3. Step 3: Cross multiply
    949,170x = 2,047,512 × 2,047,512
  4. Step 4: Simplify right side
    949,170x = 4,192,305,390,144
  5. Step 5: Solve for x
    x = 4,192,305,390,144/949,170
  6. Step 6: Final answer
    x = 4,416,811.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.