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Finding the Third Proportional to 1,174,745 and 2,565,193

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Solution

The third proportional to 1,174,745 and 2,565,193 is: 5,601,398.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174,745 : 2,565,193 = 2,565,193 : x
  2. Step 2: Convert to fraction form
    1,174,745/2,565,193 = 2,565,193/x
  3. Step 3: Cross multiply
    1,174,745x = 2,565,193 × 2,565,193
  4. Step 4: Simplify right side
    1,174,745x = 6,580,215,127,249
  5. Step 5: Solve for x
    x = 6,580,215,127,249/1,174,745
  6. Step 6: Final answer
    x = 5,601,398.71

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