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Finding the Third Proportional to 446,532 and 968,556

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Solution

The third proportional to 446,532 and 968,556 is: 2,100,858.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,532 : 968,556 = 968,556 : x
  2. Step 2: Convert to fraction form
    446,532/968,556 = 968,556/x
  3. Step 3: Cross multiply
    446,532x = 968,556 × 968,556
  4. Step 4: Simplify right side
    446,532x = 938,100,725,136
  5. Step 5: Solve for x
    x = 938,100,725,136/446,532
  6. Step 6: Final answer
    x = 2,100,858.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.