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Finding the Third Proportional to 1,128,638 and 2,412,580

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Solution

The third proportional to 1,128,638 and 2,412,580 is: 5,157,138.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128,638 : 2,412,580 = 2,412,580 : x
  2. Step 2: Convert to fraction form
    1,128,638/2,412,580 = 2,412,580/x
  3. Step 3: Cross multiply
    1,128,638x = 2,412,580 × 2,412,580
  4. Step 4: Simplify right side
    1,128,638x = 5,820,542,256,400
  5. Step 5: Solve for x
    x = 5,820,542,256,400/1,128,638
  6. Step 6: Final answer
    x = 5,157,138.30

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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.