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Finding the Third Proportional to 1,747,630.69 and 2,361,162.66

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Solution

The third proportional to 1,747,630.69 and 2,361,162.66 is: 3,190,084.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747,630.69 : 2,361,162.66 = 2,361,162.66 : x
  2. Step 2: Convert to fraction form
    1,747,630.69/2,361,162.66 = 2,361,162.66/x
  3. Step 3: Cross multiply
    1,747,630.69x = 2,361,162.66 × 2,361,162.66
  4. Step 4: Simplify right side
    1,747,630.69x = 5,575,089,089,269.56
  5. Step 5: Solve for x
    x = 5,575,089,089,269.56/1,747,630.69
  6. Step 6: Final answer
    x = 3,190,084.23

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.