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Finding the Third Proportional to 448,673 and 960,401

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Solution

The third proportional to 448,673 and 960,401 is: 2,055,773.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,673 : 960,401 = 960,401 : x
  2. Step 2: Convert to fraction form
    448,673/960,401 = 960,401/x
  3. Step 3: Cross multiply
    448,673x = 960,401 × 960,401
  4. Step 4: Simplify right side
    448,673x = 922,370,080,801
  5. Step 5: Solve for x
    x = 922,370,080,801/448,673
  6. Step 6: Final answer
    x = 2,055,773.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.