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Finding the Third Proportional to 1,245,804 and 1,951,743

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Solution

The third proportional to 1,245,804 and 1,951,743 is: 3,057,704.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245,804 : 1,951,743 = 1,951,743 : x
  2. Step 2: Convert to fraction form
    1,245,804/1,951,743 = 1,951,743/x
  3. Step 3: Cross multiply
    1,245,804x = 1,951,743 × 1,951,743
  4. Step 4: Simplify right side
    1,245,804x = 3,809,300,738,049
  5. Step 5: Solve for x
    x = 3,809,300,738,049/1,245,804
  6. Step 6: Final answer
    x = 3,057,704.69

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.