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Finding the Third Proportional to 496,413.56 and 1,083,863.53

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Solution

The third proportional to 496,413.56 and 1,083,863.53 is: 2,366,494.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,413.56 : 1,083,863.53 = 1,083,863.53 : x
  2. Step 2: Convert to fraction form
    496,413.56/1,083,863.53 = 1,083,863.53/x
  3. Step 3: Cross multiply
    496,413.56x = 1,083,863.53 × 1,083,863.53
  4. Step 4: Simplify right side
    496,413.56x = 1,174,760,154,373.72
  5. Step 5: Solve for x
    x = 1,174,760,154,373.72/496,413.56
  6. Step 6: Final answer
    x = 2,366,494.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.