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Finding the Third Proportional to 902,124 and 1,961,631

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Solution

The third proportional to 902,124 and 1,961,631 is: 4,265,484.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,124 : 1,961,631 = 1,961,631 : x
  2. Step 2: Convert to fraction form
    902,124/1,961,631 = 1,961,631/x
  3. Step 3: Cross multiply
    902,124x = 1,961,631 × 1,961,631
  4. Step 4: Simplify right side
    902,124x = 3,847,996,180,161
  5. Step 5: Solve for x
    x = 3,847,996,180,161/902,124
  6. Step 6: Final answer
    x = 4,265,484.77

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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.