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Finding the Third Proportional to 494,254 and 1,079,148

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Solution

The third proportional to 494,254 and 1,079,148 is: 2,356,198.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,254 : 1,079,148 = 1,079,148 : x
  2. Step 2: Convert to fraction form
    494,254/1,079,148 = 1,079,148/x
  3. Step 3: Cross multiply
    494,254x = 1,079,148 × 1,079,148
  4. Step 4: Simplify right side
    494,254x = 1,164,560,405,904
  5. Step 5: Solve for x
    x = 1,164,560,405,904/494,254
  6. Step 6: Final answer
    x = 2,356,198.24

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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.