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Finding the Third Proportional to 1,206,032 and 1,637,912

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Solution

The third proportional to 1,206,032 and 1,637,912 is: 2,224,448.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206,032 : 1,637,912 = 1,637,912 : x
  2. Step 2: Convert to fraction form
    1,206,032/1,637,912 = 1,637,912/x
  3. Step 3: Cross multiply
    1,206,032x = 1,637,912 × 1,637,912
  4. Step 4: Simplify right side
    1,206,032x = 2,682,755,719,744
  5. Step 5: Solve for x
    x = 2,682,755,719,744/1,206,032
  6. Step 6: Final answer
    x = 2,224,448.21

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.