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Finding the Third Proportional to 825,853.50 and 1,819,341

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Solution

The third proportional to 825,853.50 and 1,819,341 is: 4,007,976.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,853.50 : 1,819,341 = 1,819,341 : x
  2. Step 2: Convert to fraction form
    825,853.50/1,819,341 = 1,819,341/x
  3. Step 3: Cross multiply
    825,853.50x = 1,819,341 × 1,819,341
  4. Step 4: Simplify right side
    825,853.50x = 3,310,001,674,281
  5. Step 5: Solve for x
    x = 3,310,001,674,281/825,853.50
  6. Step 6: Final answer
    x = 4,007,976.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.