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Finding the Third Proportional to 967,518 and 2,119,149

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Solution

The third proportional to 967,518 and 2,119,149 is: 4,641,559.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    967,518 : 2,119,149 = 2,119,149 : x
  2. Step 2: Convert to fraction form
    967,518/2,119,149 = 2,119,149/x
  3. Step 3: Cross multiply
    967,518x = 2,119,149 × 2,119,149
  4. Step 4: Simplify right side
    967,518x = 4,490,792,484,201
  5. Step 5: Solve for x
    x = 4,490,792,484,201/967,518
  6. Step 6: Final answer
    x = 4,641,559.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.