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Finding the Third Proportional to 492,268 and 1,073,120

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Solution

The third proportional to 492,268 and 1,073,120 is: 2,339,348.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,268 : 1,073,120 = 1,073,120 : x
  2. Step 2: Convert to fraction form
    492,268/1,073,120 = 1,073,120/x
  3. Step 3: Cross multiply
    492,268x = 1,073,120 × 1,073,120
  4. Step 4: Simplify right side
    492,268x = 1,151,586,534,400
  5. Step 5: Solve for x
    x = 1,151,586,534,400/492,268
  6. Step 6: Final answer
    x = 2,339,348.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.