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Finding the Third Proportional to 1,314,613.50 and 1,966,668

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Solution

The third proportional to 1,314,613.50 and 1,966,668 is: 2,942,144.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314,613.50 : 1,966,668 = 1,966,668 : x
  2. Step 2: Convert to fraction form
    1,314,613.50/1,966,668 = 1,966,668/x
  3. Step 3: Cross multiply
    1,314,613.50x = 1,966,668 × 1,966,668
  4. Step 4: Simplify right side
    1,314,613.50x = 3,867,783,022,224
  5. Step 5: Solve for x
    x = 3,867,783,022,224/1,314,613.50
  6. Step 6: Final answer
    x = 2,942,144.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.