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Finding the Third Proportional to 1,939,344 and 4,220,512

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Solution

The third proportional to 1,939,344 and 4,220,512 is: 9,184,921.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,939,344 : 4,220,512 = 4,220,512 : x
  2. Step 2: Convert to fraction form
    1,939,344/4,220,512 = 4,220,512/x
  3. Step 3: Cross multiply
    1,939,344x = 4,220,512 × 4,220,512
  4. Step 4: Simplify right side
    1,939,344x = 17,812,721,542,144
  5. Step 5: Solve for x
    x = 17,812,721,542,144/1,939,344
  6. Step 6: Final answer
    x = 9,184,921.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.