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Finding the Third Proportional to 1,413.56 and 2,219.06

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Solution

The third proportional to 1,413.56 and 2,219.06 is: 3,483.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.56 : 2,219.06 = 2,219.06 : x
  2. Step 2: Convert to fraction form
    1,413.56/2,219.06 = 2,219.06/x
  3. Step 3: Cross multiply
    1,413.56x = 2,219.06 × 2,219.06
  4. Step 4: Simplify right side
    1,413.56x = 4,924,238.38
  5. Step 5: Solve for x
    x = 4,924,238.38/1,413.56
  6. Step 6: Final answer
    x = 3,483.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.