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Finding the Third Proportional to 1,396,024 and 2,214,136

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Solution

The third proportional to 1,396,024 and 2,214,136 is: 3,511,686.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396,024 : 2,214,136 = 2,214,136 : x
  2. Step 2: Convert to fraction form
    1,396,024/2,214,136 = 2,214,136/x
  3. Step 3: Cross multiply
    1,396,024x = 2,214,136 × 2,214,136
  4. Step 4: Simplify right side
    1,396,024x = 4,902,398,226,496
  5. Step 5: Solve for x
    x = 4,902,398,226,496/1,396,024
  6. Step 6: Final answer
    x = 3,511,686.21

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.