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Finding the Third Proportional to 1,210,583.25 and 1,809,413.44

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Solution

The third proportional to 1,210,583.25 and 1,809,413.44 is: 2,704,462.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210,583.25 : 1,809,413.44 = 1,809,413.44 : x
  2. Step 2: Convert to fraction form
    1,210,583.25/1,809,413.44 = 1,809,413.44/x
  3. Step 3: Cross multiply
    1,210,583.25x = 1,809,413.44 × 1,809,413.44
  4. Step 4: Simplify right side
    1,210,583.25x = 3,273,976,987,805.57
  5. Step 5: Solve for x
    x = 3,273,976,987,805.57/1,210,583.25
  6. Step 6: Final answer
    x = 2,704,462.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.