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Finding the Third Proportional to 821,678 and 1,794,574

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Solution

The third proportional to 821,678 and 1,794,574 is: 3,919,413.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,678 : 1,794,574 = 1,794,574 : x
  2. Step 2: Convert to fraction form
    821,678/1,794,574 = 1,794,574/x
  3. Step 3: Cross multiply
    821,678x = 1,794,574 × 1,794,574
  4. Step 4: Simplify right side
    821,678x = 3,220,495,841,476
  5. Step 5: Solve for x
    x = 3,220,495,841,476/821,678
  6. Step 6: Final answer
    x = 3,919,413.49

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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.