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Finding the Third Proportional to 969,268 and 2,264,050

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Solution

The third proportional to 969,268 and 2,264,050 is: 5,288,446.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,268 : 2,264,050 = 2,264,050 : x
  2. Step 2: Convert to fraction form
    969,268/2,264,050 = 2,264,050/x
  3. Step 3: Cross multiply
    969,268x = 2,264,050 × 2,264,050
  4. Step 4: Simplify right side
    969,268x = 5,125,922,402,500
  5. Step 5: Solve for x
    x = 5,125,922,402,500/969,268
  6. Step 6: Final answer
    x = 5,288,446.95

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.