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Finding the Third Proportional to 823,616 and 1,777,152

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Solution

The third proportional to 823,616 and 1,777,152 is: 3,834,638.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,616 : 1,777,152 = 1,777,152 : x
  2. Step 2: Convert to fraction form
    823,616/1,777,152 = 1,777,152/x
  3. Step 3: Cross multiply
    823,616x = 1,777,152 × 1,777,152
  4. Step 4: Simplify right side
    823,616x = 3,158,269,231,104
  5. Step 5: Solve for x
    x = 3,158,269,231,104/823,616
  6. Step 6: Final answer
    x = 3,834,638.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.