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Finding the Third Proportional to 740,608.31 and 1,106,067.66

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Solution

The third proportional to 740,608.31 and 1,106,067.66 is: 1,651,865.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,608.31 : 1,106,067.66 = 1,106,067.66 : x
  2. Step 2: Convert to fraction form
    740,608.31/1,106,067.66 = 1,106,067.66/x
  3. Step 3: Cross multiply
    740,608.31x = 1,106,067.66 × 1,106,067.66
  4. Step 4: Simplify right side
    740,608.31x = 1,223,385,660,202.37
  5. Step 5: Solve for x
    x = 1,223,385,660,202.37/740,608.31
  6. Step 6: Final answer
    x = 1,651,865.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.