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Finding the Third Proportional to 1,274,780 and 2,739,019

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Solution

The third proportional to 1,274,780 and 2,739,019 is: 5,885,113.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274,780 : 2,739,019 = 2,739,019 : x
  2. Step 2: Convert to fraction form
    1,274,780/2,739,019 = 2,739,019/x
  3. Step 3: Cross multiply
    1,274,780x = 2,739,019 × 2,739,019
  4. Step 4: Simplify right side
    1,274,780x = 7,502,225,082,361
  5. Step 5: Solve for x
    x = 7,502,225,082,361/1,274,780
  6. Step 6: Final answer
    x = 5,885,113.57

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.