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Finding the Third Proportional to 743,968 and 1,620,794

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Solution

The third proportional to 743,968 and 1,620,794 is: 3,531,029.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,968 : 1,620,794 = 1,620,794 : x
  2. Step 2: Convert to fraction form
    743,968/1,620,794 = 1,620,794/x
  3. Step 3: Cross multiply
    743,968x = 1,620,794 × 1,620,794
  4. Step 4: Simplify right side
    743,968x = 2,626,973,190,436
  5. Step 5: Solve for x
    x = 2,626,973,190,436/743,968
  6. Step 6: Final answer
    x = 3,531,029.82

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.