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Finding the Third Proportional to 566,120 and 825,843

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Solution

The third proportional to 566,120 and 825,843 is: 1,204,721.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,120 : 825,843 = 825,843 : x
  2. Step 2: Convert to fraction form
    566,120/825,843 = 825,843/x
  3. Step 3: Cross multiply
    566,120x = 825,843 × 825,843
  4. Step 4: Simplify right side
    566,120x = 682,016,660,649
  5. Step 5: Solve for x
    x = 682,016,660,649/566,120
  6. Step 6: Final answer
    x = 1,204,721.01

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.