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Finding the Third Proportional to 485,225 and 1,052,923

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Solution

The third proportional to 485,225 and 1,052,923 is: 2,284,809.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,225 : 1,052,923 = 1,052,923 : x
  2. Step 2: Convert to fraction form
    485,225/1,052,923 = 1,052,923/x
  3. Step 3: Cross multiply
    485,225x = 1,052,923 × 1,052,923
  4. Step 4: Simplify right side
    485,225x = 1,108,646,843,929
  5. Step 5: Solve for x
    x = 1,108,646,843,929/485,225
  6. Step 6: Final answer
    x = 2,284,809.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.