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Finding the Third Proportional to 446,401 and 963,369

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Solution

The third proportional to 446,401 and 963,369 is: 2,079,027.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,401 : 963,369 = 963,369 : x
  2. Step 2: Convert to fraction form
    446,401/963,369 = 963,369/x
  3. Step 3: Cross multiply
    446,401x = 963,369 × 963,369
  4. Step 4: Simplify right side
    446,401x = 928,079,830,161
  5. Step 5: Solve for x
    x = 928,079,830,161/446,401
  6. Step 6: Final answer
    x = 2,079,027.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.