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Finding the Third Proportional to 682,974 and 1,002,318

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Solution

The third proportional to 682,974 and 1,002,318 is: 1,470,980.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,974 : 1,002,318 = 1,002,318 : x
  2. Step 2: Convert to fraction form
    682,974/1,002,318 = 1,002,318/x
  3. Step 3: Cross multiply
    682,974x = 1,002,318 × 1,002,318
  4. Step 4: Simplify right side
    682,974x = 1,004,641,373,124
  5. Step 5: Solve for x
    x = 1,004,641,373,124/682,974
  6. Step 6: Final answer
    x = 1,470,980.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.