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Finding the Third Proportional to 1,870,900 and 2,823,197

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Solution

The third proportional to 1,870,900 and 2,823,197 is: 4,260,217.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870,900 : 2,823,197 = 2,823,197 : x
  2. Step 2: Convert to fraction form
    1,870,900/2,823,197 = 2,823,197/x
  3. Step 3: Cross multiply
    1,870,900x = 2,823,197 × 2,823,197
  4. Step 4: Simplify right side
    1,870,900x = 7,970,441,300,809
  5. Step 5: Solve for x
    x = 7,970,441,300,809/1,870,900
  6. Step 6: Final answer
    x = 4,260,217.70

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.