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Finding the Third Proportional to 1,210,827 and 2,569,245

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Solution

The third proportional to 1,210,827 and 2,569,245 is: 5,451,662.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210,827 : 2,569,245 = 2,569,245 : x
  2. Step 2: Convert to fraction form
    1,210,827/2,569,245 = 2,569,245/x
  3. Step 3: Cross multiply
    1,210,827x = 2,569,245 × 2,569,245
  4. Step 4: Simplify right side
    1,210,827x = 6,601,019,870,025
  5. Step 5: Solve for x
    x = 6,601,019,870,025/1,210,827
  6. Step 6: Final answer
    x = 5,451,662.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.