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Finding the Third Proportional to 1,084,270 and 1,449,014

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Solution

The third proportional to 1,084,270 and 1,449,014 is: 1,936,456.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084,270 : 1,449,014 = 1,449,014 : x
  2. Step 2: Convert to fraction form
    1,084,270/1,449,014 = 1,449,014/x
  3. Step 3: Cross multiply
    1,084,270x = 1,449,014 × 1,449,014
  4. Step 4: Simplify right side
    1,084,270x = 2,099,641,572,196
  5. Step 5: Solve for x
    x = 2,099,641,572,196/1,084,270
  6. Step 6: Final answer
    x = 1,936,456.39

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.