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Finding the Third Proportional to 505,146 and 1,090,413.50

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Solution

The third proportional to 505,146 and 1,090,413.50 is: 2,353,778.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,146 : 1,090,413.50 = 1,090,413.50 : x
  2. Step 2: Convert to fraction form
    505,146/1,090,413.50 = 1,090,413.50/x
  3. Step 3: Cross multiply
    505,146x = 1,090,413.50 × 1,090,413.50
  4. Step 4: Simplify right side
    505,146x = 1,189,001,600,982.25
  5. Step 5: Solve for x
    x = 1,189,001,600,982.25/505,146
  6. Step 6: Final answer
    x = 2,353,778.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.