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Finding the Third Proportional to 2,245,920 and 4,870,206

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Solution

The third proportional to 2,245,920 and 4,870,206 is: 10,560,886.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245,920 : 4,870,206 = 4,870,206 : x
  2. Step 2: Convert to fraction form
    2,245,920/4,870,206 = 4,870,206/x
  3. Step 3: Cross multiply
    2,245,920x = 4,870,206 × 4,870,206
  4. Step 4: Simplify right side
    2,245,920x = 23,718,906,482,436
  5. Step 5: Solve for x
    x = 23,718,906,482,436/2,245,920
  6. Step 6: Final answer
    x = 10,560,886.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.