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Finding the Third Proportional to 1,447,413.50 and 2,129,019

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Solution

The third proportional to 1,447,413.50 and 2,129,019 is: 3,131,601.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447,413.50 : 2,129,019 = 2,129,019 : x
  2. Step 2: Convert to fraction form
    1,447,413.50/2,129,019 = 2,129,019/x
  3. Step 3: Cross multiply
    1,447,413.50x = 2,129,019 × 2,129,019
  4. Step 4: Simplify right side
    1,447,413.50x = 4,532,721,902,361
  5. Step 5: Solve for x
    x = 4,532,721,902,361/1,447,413.50
  6. Step 6: Final answer
    x = 3,131,601.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.