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Finding the Third Proportional to 819,864 and 1,801,140.50

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Solution

The third proportional to 819,864 and 1,801,140.50 is: 3,956,884.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,864 : 1,801,140.50 = 1,801,140.50 : x
  2. Step 2: Convert to fraction form
    819,864/1,801,140.50 = 1,801,140.50/x
  3. Step 3: Cross multiply
    819,864x = 1,801,140.50 × 1,801,140.50
  4. Step 4: Simplify right side
    819,864x = 3,244,107,100,740.25
  5. Step 5: Solve for x
    x = 3,244,107,100,740.25/819,864
  6. Step 6: Final answer
    x = 3,956,884.44

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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.