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Finding the Third Proportional to 1,306,037 and 2,018,161

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Solution

The third proportional to 1,306,037 and 2,018,161 is: 3,118,574.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306,037 : 2,018,161 = 2,018,161 : x
  2. Step 2: Convert to fraction form
    1,306,037/2,018,161 = 2,018,161/x
  3. Step 3: Cross multiply
    1,306,037x = 2,018,161 × 2,018,161
  4. Step 4: Simplify right side
    1,306,037x = 4,072,973,821,921
  5. Step 5: Solve for x
    x = 4,072,973,821,921/1,306,037
  6. Step 6: Final answer
    x = 3,118,574.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.