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Finding the Third Proportional to 1,270,114 and 2,739,651

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Solution

The third proportional to 1,270,114 and 2,739,651 is: 5,909,459.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270,114 : 2,739,651 = 2,739,651 : x
  2. Step 2: Convert to fraction form
    1,270,114/2,739,651 = 2,739,651/x
  3. Step 3: Cross multiply
    1,270,114x = 2,739,651 × 2,739,651
  4. Step 4: Simplify right side
    1,270,114x = 7,505,687,601,801
  5. Step 5: Solve for x
    x = 7,505,687,601,801/1,270,114
  6. Step 6: Final answer
    x = 5,909,459.78

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.