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Finding the Third Proportional to 519,648 and 1,133,336

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Solution

The third proportional to 519,648 and 1,133,336 is: 2,471,770.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,648 : 1,133,336 = 1,133,336 : x
  2. Step 2: Convert to fraction form
    519,648/1,133,336 = 1,133,336/x
  3. Step 3: Cross multiply
    519,648x = 1,133,336 × 1,133,336
  4. Step 4: Simplify right side
    519,648x = 1,284,450,488,896
  5. Step 5: Solve for x
    x = 1,284,450,488,896/519,648
  6. Step 6: Final answer
    x = 2,471,770.29

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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.