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Finding the Third Proportional to 942,660 and 2,036,016

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Solution

The third proportional to 942,660 and 2,036,016 is: 4,397,514.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    942,660 : 2,036,016 = 2,036,016 : x
  2. Step 2: Convert to fraction form
    942,660/2,036,016 = 2,036,016/x
  3. Step 3: Cross multiply
    942,660x = 2,036,016 × 2,036,016
  4. Step 4: Simplify right side
    942,660x = 4,145,361,152,256
  5. Step 5: Solve for x
    x = 4,145,361,152,256/942,660
  6. Step 6: Final answer
    x = 4,397,514.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.