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Finding the Third Proportional to 1,671,168 and 3,430,824

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Solution

The third proportional to 1,671,168 and 3,430,824 is: 7,043,309.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671,168 : 3,430,824 = 3,430,824 : x
  2. Step 2: Convert to fraction form
    1,671,168/3,430,824 = 3,430,824/x
  3. Step 3: Cross multiply
    1,671,168x = 3,430,824 × 3,430,824
  4. Step 4: Simplify right side
    1,671,168x = 11,770,553,318,976
  5. Step 5: Solve for x
    x = 11,770,553,318,976/1,671,168
  6. Step 6: Final answer
    x = 7,043,309.42

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.