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Finding the Third Proportional to 583,932 and 1,259,016

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Solution

The third proportional to 583,932 and 1,259,016 is: 2,714,564.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,932 : 1,259,016 = 1,259,016 : x
  2. Step 2: Convert to fraction form
    583,932/1,259,016 = 1,259,016/x
  3. Step 3: Cross multiply
    583,932x = 1,259,016 × 1,259,016
  4. Step 4: Simplify right side
    583,932x = 1,585,121,288,256
  5. Step 5: Solve for x
    x = 1,585,121,288,256/583,932
  6. Step 6: Final answer
    x = 2,714,564.86

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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.