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Finding the Third Proportional to 492,468 and 1,060,923

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Solution

The third proportional to 492,468 and 1,060,923 is: 2,285,544.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,468 : 1,060,923 = 1,060,923 : x
  2. Step 2: Convert to fraction form
    492,468/1,060,923 = 1,060,923/x
  3. Step 3: Cross multiply
    492,468x = 1,060,923 × 1,060,923
  4. Step 4: Simplify right side
    492,468x = 1,125,557,611,929
  5. Step 5: Solve for x
    x = 1,125,557,611,929/492,468
  6. Step 6: Final answer
    x = 2,285,544.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.