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Finding the Third Proportional to 809,196 and 1,770,779

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Solution

The third proportional to 809,196 and 1,770,779 is: 3,875,029.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,196 : 1,770,779 = 1,770,779 : x
  2. Step 2: Convert to fraction form
    809,196/1,770,779 = 1,770,779/x
  3. Step 3: Cross multiply
    809,196x = 1,770,779 × 1,770,779
  4. Step 4: Simplify right side
    809,196x = 3,135,658,266,841
  5. Step 5: Solve for x
    x = 3,135,658,266,841/809,196
  6. Step 6: Final answer
    x = 3,875,029.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.