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Finding the Third Proportional to 825,635.25 and 1,674,506.25

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Solution

The third proportional to 825,635.25 and 1,674,506.25 is: 3,396,137.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,635.25 : 1,674,506.25 = 1,674,506.25 : x
  2. Step 2: Convert to fraction form
    825,635.25/1,674,506.25 = 1,674,506.25/x
  3. Step 3: Cross multiply
    825,635.25x = 1,674,506.25 × 1,674,506.25
  4. Step 4: Simplify right side
    825,635.25x = 2,803,971,181,289.06
  5. Step 5: Solve for x
    x = 2,803,971,181,289.06/825,635.25
  6. Step 6: Final answer
    x = 3,396,137.92

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.