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Finding the Third Proportional to 455,749 and 982,150

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Solution

The third proportional to 455,749 and 982,150 is: 2,116,556.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,749 : 982,150 = 982,150 : x
  2. Step 2: Convert to fraction form
    455,749/982,150 = 982,150/x
  3. Step 3: Cross multiply
    455,749x = 982,150 × 982,150
  4. Step 4: Simplify right side
    455,749x = 964,618,622,500
  5. Step 5: Solve for x
    x = 964,618,622,500/455,749
  6. Step 6: Final answer
    x = 2,116,556.75

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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.