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Finding the Third Proportional to 2,105,653 and 4,311,054

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Solution

The third proportional to 2,105,653 and 4,311,054 is: 8,826,329.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105,653 : 4,311,054 = 4,311,054 : x
  2. Step 2: Convert to fraction form
    2,105,653/4,311,054 = 4,311,054/x
  3. Step 3: Cross multiply
    2,105,653x = 4,311,054 × 4,311,054
  4. Step 4: Simplify right side
    2,105,653x = 18,585,186,590,916
  5. Step 5: Solve for x
    x = 18,585,186,590,916/2,105,653
  6. Step 6: Final answer
    x = 8,826,329.22

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