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Finding the Third Proportional to 825,180 and 1,243,233

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Solution

The third proportional to 825,180 and 1,243,233 is: 1,873,080.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,180 : 1,243,233 = 1,243,233 : x
  2. Step 2: Convert to fraction form
    825,180/1,243,233 = 1,243,233/x
  3. Step 3: Cross multiply
    825,180x = 1,243,233 × 1,243,233
  4. Step 4: Simplify right side
    825,180x = 1,545,628,292,289
  5. Step 5: Solve for x
    x = 1,545,628,292,289/825,180
  6. Step 6: Final answer
    x = 1,873,080.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.