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Finding the Third Proportional to 1,269,691 and 2,714,097

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Solution

The third proportional to 1,269,691 and 2,714,097 is: 5,801,665.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269,691 : 2,714,097 = 2,714,097 : x
  2. Step 2: Convert to fraction form
    1,269,691/2,714,097 = 2,714,097/x
  3. Step 3: Cross multiply
    1,269,691x = 2,714,097 × 2,714,097
  4. Step 4: Simplify right side
    1,269,691x = 7,366,322,525,409
  5. Step 5: Solve for x
    x = 7,366,322,525,409/1,269,691
  6. Step 6: Final answer
    x = 5,801,665.54

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.