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Finding the Third Proportional to 1,745,919 and 2,621,241

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Solution

The third proportional to 1,745,919 and 2,621,241 is: 3,935,408.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745,919 : 2,621,241 = 2,621,241 : x
  2. Step 2: Convert to fraction form
    1,745,919/2,621,241 = 2,621,241/x
  3. Step 3: Cross multiply
    1,745,919x = 2,621,241 × 2,621,241
  4. Step 4: Simplify right side
    1,745,919x = 6,870,904,380,081
  5. Step 5: Solve for x
    x = 6,870,904,380,081/1,745,919
  6. Step 6: Final answer
    x = 3,935,408.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.