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Finding the Third Proportional to 463,600 and 993,738

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Solution

The third proportional to 463,600 and 993,738 is: 2,130,101.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,600 : 993,738 = 993,738 : x
  2. Step 2: Convert to fraction form
    463,600/993,738 = 993,738/x
  3. Step 3: Cross multiply
    463,600x = 993,738 × 993,738
  4. Step 4: Simplify right side
    463,600x = 987,515,212,644
  5. Step 5: Solve for x
    x = 987,515,212,644/463,600
  6. Step 6: Final answer
    x = 2,130,101.84

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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.