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Finding the Third Proportional to 1,565,638 and 2,424,215

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Solution

The third proportional to 1,565,638 and 2,424,215 is: 3,753,625.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565,638 : 2,424,215 = 2,424,215 : x
  2. Step 2: Convert to fraction form
    1,565,638/2,424,215 = 2,424,215/x
  3. Step 3: Cross multiply
    1,565,638x = 2,424,215 × 2,424,215
  4. Step 4: Simplify right side
    1,565,638x = 5,876,818,366,225
  5. Step 5: Solve for x
    x = 5,876,818,366,225/1,565,638
  6. Step 6: Final answer
    x = 3,753,625.27

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.