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Finding the Third Proportional to 1,614,680 and 3,806,255

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Solution

The third proportional to 1,614,680 and 3,806,255 is: 8,972,413.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614,680 : 3,806,255 = 3,806,255 : x
  2. Step 2: Convert to fraction form
    1,614,680/3,806,255 = 3,806,255/x
  3. Step 3: Cross multiply
    1,614,680x = 3,806,255 × 3,806,255
  4. Step 4: Simplify right side
    1,614,680x = 14,487,577,125,025
  5. Step 5: Solve for x
    x = 14,487,577,125,025/1,614,680
  6. Step 6: Final answer
    x = 8,972,413.81

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.