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Finding the Third Proportional to 1,854,593 and 3,954,142

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Solution

The third proportional to 1,854,593 and 3,954,142 is: 8,430,549.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854,593 : 3,954,142 = 3,954,142 : x
  2. Step 2: Convert to fraction form
    1,854,593/3,954,142 = 3,954,142/x
  3. Step 3: Cross multiply
    1,854,593x = 3,954,142 × 3,954,142
  4. Step 4: Simplify right side
    1,854,593x = 15,635,238,956,164
  5. Step 5: Solve for x
    x = 15,635,238,956,164/1,854,593
  6. Step 6: Final answer
    x = 8,430,549.97

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.