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Finding the Third Proportional to 2,105,601.75 and 4,310,955

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Solution

The third proportional to 2,105,601.75 and 4,310,955 is: 8,826,138.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105,601.75 : 4,310,955 = 4,310,955 : x
  2. Step 2: Convert to fraction form
    2,105,601.75/4,310,955 = 4,310,955/x
  3. Step 3: Cross multiply
    2,105,601.75x = 4,310,955 × 4,310,955
  4. Step 4: Simplify right side
    2,105,601.75x = 18,584,333,012,025
  5. Step 5: Solve for x
    x = 18,584,333,012,025/2,105,601.75
  6. Step 6: Final answer
    x = 8,826,138.66

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.