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Finding the Third Proportional to 492,183 and 1,023,652

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Solution

The third proportional to 492,183 and 1,023,652 is: 2,129,011.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,183 : 1,023,652 = 1,023,652 : x
  2. Step 2: Convert to fraction form
    492,183/1,023,652 = 1,023,652/x
  3. Step 3: Cross multiply
    492,183x = 1,023,652 × 1,023,652
  4. Step 4: Simplify right side
    492,183x = 1,047,863,417,104
  5. Step 5: Solve for x
    x = 1,047,863,417,104/492,183
  6. Step 6: Final answer
    x = 2,129,011.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.