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Finding the Third Proportional to 519,858 and 1,133,668

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Solution

The third proportional to 519,858 and 1,133,668 is: 2,472,219.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,858 : 1,133,668 = 1,133,668 : x
  2. Step 2: Convert to fraction form
    519,858/1,133,668 = 1,133,668/x
  3. Step 3: Cross multiply
    519,858x = 1,133,668 × 1,133,668
  4. Step 4: Simplify right side
    519,858x = 1,285,203,134,224
  5. Step 5: Solve for x
    x = 1,285,203,134,224/519,858
  6. Step 6: Final answer
    x = 2,472,219.60

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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.