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Finding the Third Proportional to 825,500.25 and 1,788,399

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Solution

The third proportional to 825,500.25 and 1,788,399 is: 3,874,463.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,500.25 : 1,788,399 = 1,788,399 : x
  2. Step 2: Convert to fraction form
    825,500.25/1,788,399 = 1,788,399/x
  3. Step 3: Cross multiply
    825,500.25x = 1,788,399 × 1,788,399
  4. Step 4: Simplify right side
    825,500.25x = 3,198,370,983,201
  5. Step 5: Solve for x
    x = 3,198,370,983,201/825,500.25
  6. Step 6: Final answer
    x = 3,874,463.98

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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.