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Finding the Third Proportional to 406,836 and 850,851

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Solution

The third proportional to 406,836 and 850,851 is: 1,779,457.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,836 : 850,851 = 850,851 : x
  2. Step 2: Convert to fraction form
    406,836/850,851 = 850,851/x
  3. Step 3: Cross multiply
    406,836x = 850,851 × 850,851
  4. Step 4: Simplify right side
    406,836x = 723,947,424,201
  5. Step 5: Solve for x
    x = 723,947,424,201/406,836
  6. Step 6: Final answer
    x = 1,779,457.63

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.