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Finding the Third Proportional to 3,090,413.25 and 4,727,504.25

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Solution

The third proportional to 3,090,413.25 and 4,727,504.25 is: 7,231,814.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,090,413.25 : 4,727,504.25 = 4,727,504.25 : x
  2. Step 2: Convert to fraction form
    3,090,413.25/4,727,504.25 = 4,727,504.25/x
  3. Step 3: Cross multiply
    3,090,413.25x = 4,727,504.25 × 4,727,504.25
  4. Step 4: Simplify right side
    3,090,413.25x = 22,349,296,433,768.06
  5. Step 5: Solve for x
    x = 22,349,296,433,768.06/3,090,413.25
  6. Step 6: Final answer
    x = 7,231,814.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.