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Finding the Third Proportional to 2,278,999.50 and 4,863,084

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Solution

The third proportional to 2,278,999.50 and 4,863,084 is: 10,377,179.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278,999.50 : 4,863,084 = 4,863,084 : x
  2. Step 2: Convert to fraction form
    2,278,999.50/4,863,084 = 4,863,084/x
  3. Step 3: Cross multiply
    2,278,999.50x = 4,863,084 × 4,863,084
  4. Step 4: Simplify right side
    2,278,999.50x = 23,649,585,991,056
  5. Step 5: Solve for x
    x = 23,649,585,991,056/2,278,999.50
  6. Step 6: Final answer
    x = 10,377,179.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.