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Finding the Third Proportional to 945,682 and 2,052,115

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Solution

The third proportional to 945,682 and 2,052,115 is: 4,453,057.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,682 : 2,052,115 = 2,052,115 : x
  2. Step 2: Convert to fraction form
    945,682/2,052,115 = 2,052,115/x
  3. Step 3: Cross multiply
    945,682x = 2,052,115 × 2,052,115
  4. Step 4: Simplify right side
    945,682x = 4,211,175,973,225
  5. Step 5: Solve for x
    x = 4,211,175,973,225/945,682
  6. Step 6: Final answer
    x = 4,453,057.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.