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Finding the Third Proportional to 2,843,941 and 4,024,089.25

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Solution

The third proportional to 2,843,941 and 4,024,089.25 is: 5,693,962.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843,941 : 4,024,089.25 = 4,024,089.25 : x
  2. Step 2: Convert to fraction form
    2,843,941/4,024,089.25 = 4,024,089.25/x
  3. Step 3: Cross multiply
    2,843,941x = 4,024,089.25 × 4,024,089.25
  4. Step 4: Simplify right side
    2,843,941x = 16,193,294,291,965.56
  5. Step 5: Solve for x
    x = 16,193,294,291,965.56/2,843,941
  6. Step 6: Final answer
    x = 5,693,962.81

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.