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Finding the Third Proportional to 984,450 and 1,518,678

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Solution

The third proportional to 984,450 and 1,518,678 is: 2,342,813.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,450 : 1,518,678 = 1,518,678 : x
  2. Step 2: Convert to fraction form
    984,450/1,518,678 = 1,518,678/x
  3. Step 3: Cross multiply
    984,450x = 1,518,678 × 1,518,678
  4. Step 4: Simplify right side
    984,450x = 2,306,382,867,684
  5. Step 5: Solve for x
    x = 2,306,382,867,684/984,450
  6. Step 6: Final answer
    x = 2,342,813.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.