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Finding the Third Proportional to 982,512 and 2,130,912

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Solution

The third proportional to 982,512 and 2,130,912 is: 4,621,608.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,512 : 2,130,912 = 2,130,912 : x
  2. Step 2: Convert to fraction form
    982,512/2,130,912 = 2,130,912/x
  3. Step 3: Cross multiply
    982,512x = 2,130,912 × 2,130,912
  4. Step 4: Simplify right side
    982,512x = 4,540,785,951,744
  5. Step 5: Solve for x
    x = 4,540,785,951,744/982,512
  6. Step 6: Final answer
    x = 4,621,608.64

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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.