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Finding the Third Proportional to 494,240 and 1,079,119

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Solution

The third proportional to 494,240 and 1,079,119 is: 2,356,138.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,240 : 1,079,119 = 1,079,119 : x
  2. Step 2: Convert to fraction form
    494,240/1,079,119 = 1,079,119/x
  3. Step 3: Cross multiply
    494,240x = 1,079,119 × 1,079,119
  4. Step 4: Simplify right side
    494,240x = 1,164,497,816,161
  5. Step 5: Solve for x
    x = 1,164,497,816,161/494,240
  6. Step 6: Final answer
    x = 2,356,138.35

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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.