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Finding the Third Proportional to 825,666.75 and 1,741,101.75

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Solution

The third proportional to 825,666.75 and 1,741,101.75 is: 3,671,499.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,666.75 : 1,741,101.75 = 1,741,101.75 : x
  2. Step 2: Convert to fraction form
    825,666.75/1,741,101.75 = 1,741,101.75/x
  3. Step 3: Cross multiply
    825,666.75x = 1,741,101.75 × 1,741,101.75
  4. Step 4: Simplify right side
    825,666.75x = 3,031,435,303,853.06
  5. Step 5: Solve for x
    x = 3,031,435,303,853.06/825,666.75
  6. Step 6: Final answer
    x = 3,671,499.80

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.