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Finding the Third Proportional to 961,728 and 2,052,170

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Solution

The third proportional to 961,728 and 2,052,170 is: 4,378,994.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,728 : 2,052,170 = 2,052,170 : x
  2. Step 2: Convert to fraction form
    961,728/2,052,170 = 2,052,170/x
  3. Step 3: Cross multiply
    961,728x = 2,052,170 × 2,052,170
  4. Step 4: Simplify right side
    961,728x = 4,211,401,708,900
  5. Step 5: Solve for x
    x = 4,211,401,708,900/961,728
  6. Step 6: Final answer
    x = 4,378,994.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.