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Finding the Third Proportional to 788,309.44 and 1,729,222.88

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Solution

The third proportional to 788,309.44 and 1,729,222.88 is: 3,793,195.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,309.44 : 1,729,222.88 = 1,729,222.88 : x
  2. Step 2: Convert to fraction form
    788,309.44/1,729,222.88 = 1,729,222.88/x
  3. Step 3: Cross multiply
    788,309.44x = 1,729,222.88 × 1,729,222.88
  4. Step 4: Simplify right side
    788,309.44x = 2,990,211,751,423.27
  5. Step 5: Solve for x
    x = 2,990,211,751,423.27/788,309.44
  6. Step 6: Final answer
    x = 3,793,195.42

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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.