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Finding the Third Proportional to 644,413.50 and 1,272,557.25

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Solution

The third proportional to 644,413.50 and 1,272,557.25 is: 2,512,985.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,413.50 : 1,272,557.25 = 1,272,557.25 : x
  2. Step 2: Convert to fraction form
    644,413.50/1,272,557.25 = 1,272,557.25/x
  3. Step 3: Cross multiply
    644,413.50x = 1,272,557.25 × 1,272,557.25
  4. Step 4: Simplify right side
    644,413.50x = 1,619,401,954,527.56
  5. Step 5: Solve for x
    x = 1,619,401,954,527.56/644,413.50
  6. Step 6: Final answer
    x = 2,512,985.77

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.