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Finding the Third Proportional to 446,400 and 961,152

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Solution

The third proportional to 446,400 and 961,152 is: 2,069,473.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,400 : 961,152 = 961,152 : x
  2. Step 2: Convert to fraction form
    446,400/961,152 = 961,152/x
  3. Step 3: Cross multiply
    446,400x = 961,152 × 961,152
  4. Step 4: Simplify right side
    446,400x = 923,813,167,104
  5. Step 5: Solve for x
    x = 923,813,167,104/446,400
  6. Step 6: Final answer
    x = 2,069,473.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.