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Finding the Third Proportional to 809,014 and 1,759,180

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Solution

The third proportional to 809,014 and 1,759,180 is: 3,825,291.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,014 : 1,759,180 = 1,759,180 : x
  2. Step 2: Convert to fraction form
    809,014/1,759,180 = 1,759,180/x
  3. Step 3: Cross multiply
    809,014x = 1,759,180 × 1,759,180
  4. Step 4: Simplify right side
    809,014x = 3,094,714,272,400
  5. Step 5: Solve for x
    x = 3,094,714,272,400/809,014
  6. Step 6: Final answer
    x = 3,825,291.37

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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.