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Finding the Third Proportional to 644,413.22 and 1,412,767.83

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Solution

The third proportional to 644,413.22 and 1,412,767.83 is: 3,097,256.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,413.22 : 1,412,767.83 = 1,412,767.83 : x
  2. Step 2: Convert to fraction form
    644,413.22/1,412,767.83 = 1,412,767.83/x
  3. Step 3: Cross multiply
    644,413.22x = 1,412,767.83 × 1,412,767.83
  4. Step 4: Simplify right side
    644,413.22x = 1,995,912,936,185.03
  5. Step 5: Solve for x
    x = 1,995,912,936,185.03/644,413.22
  6. Step 6: Final answer
    x = 3,097,256.35

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.