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Finding the Third Proportional to 446,462 and 936,516

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Solution

The third proportional to 446,462 and 936,516 is: 1,964,472.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,462 : 936,516 = 936,516 : x
  2. Step 2: Convert to fraction form
    446,462/936,516 = 936,516/x
  3. Step 3: Cross multiply
    446,462x = 936,516 × 936,516
  4. Step 4: Simplify right side
    446,462x = 877,062,218,256
  5. Step 5: Solve for x
    x = 877,062,218,256/446,462
  6. Step 6: Final answer
    x = 1,964,472.27

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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.