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Finding the Third Proportional to 698,413.50 and 1,533,996

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Solution

The third proportional to 698,413.50 and 1,533,996 is: 3,369,270.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,413.50 : 1,533,996 = 1,533,996 : x
  2. Step 2: Convert to fraction form
    698,413.50/1,533,996 = 1,533,996/x
  3. Step 3: Cross multiply
    698,413.50x = 1,533,996 × 1,533,996
  4. Step 4: Simplify right side
    698,413.50x = 2,353,143,728,016
  5. Step 5: Solve for x
    x = 2,353,143,728,016/698,413.50
  6. Step 6: Final answer
    x = 3,369,270.11

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.