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Finding the Third Proportional to 821,415.30 and 1,797,678.56

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Solution

The third proportional to 821,415.30 and 1,797,678.56 is: 3,934,243.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,415.30 : 1,797,678.56 = 1,797,678.56 : x
  2. Step 2: Convert to fraction form
    821,415.30/1,797,678.56 = 1,797,678.56/x
  3. Step 3: Cross multiply
    821,415.30x = 1,797,678.56 × 1,797,678.56
  4. Step 4: Simplify right side
    821,415.30x = 3,231,648,214,072.07
  5. Step 5: Solve for x
    x = 3,231,648,214,072.07/821,415.30
  6. Step 6: Final answer
    x = 3,934,243.98

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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.