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Finding the Third Proportional to 828,576 and 1,815,243

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Solution

The third proportional to 828,576 and 1,815,243 is: 3,976,831.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,576 : 1,815,243 = 1,815,243 : x
  2. Step 2: Convert to fraction form
    828,576/1,815,243 = 1,815,243/x
  3. Step 3: Cross multiply
    828,576x = 1,815,243 × 1,815,243
  4. Step 4: Simplify right side
    828,576x = 3,295,107,149,049
  5. Step 5: Solve for x
    x = 3,295,107,149,049/828,576
  6. Step 6: Final answer
    x = 3,976,831.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.