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Finding the Third Proportional to 1,184,413.50 and 1,907,437.50

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Solution

The third proportional to 1,184,413.50 and 1,907,437.50 is: 3,071,830.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184,413.50 : 1,907,437.50 = 1,907,437.50 : x
  2. Step 2: Convert to fraction form
    1,184,413.50/1,907,437.50 = 1,907,437.50/x
  3. Step 3: Cross multiply
    1,184,413.50x = 1,907,437.50 × 1,907,437.50
  4. Step 4: Simplify right side
    1,184,413.50x = 3,638,317,816,406.25
  5. Step 5: Solve for x
    x = 3,638,317,816,406.25/1,184,413.50
  6. Step 6: Final answer
    x = 3,071,830.76

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.