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Finding the Third Proportional to 446,460 and 936,512

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Solution

The third proportional to 446,460 and 936,512 is: 1,964,464.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,460 : 936,512 = 936,512 : x
  2. Step 2: Convert to fraction form
    446,460/936,512 = 936,512/x
  3. Step 3: Cross multiply
    446,460x = 936,512 × 936,512
  4. Step 4: Simplify right side
    446,460x = 877,054,726,144
  5. Step 5: Solve for x
    x = 877,054,726,144/446,460
  6. Step 6: Final answer
    x = 1,964,464.29

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.