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Finding the Third Proportional to 1,209,863.25 and 1,857,093.75

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Solution

The third proportional to 1,209,863.25 and 1,857,093.75 is: 2,850,567.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209,863.25 : 1,857,093.75 = 1,857,093.75 : x
  2. Step 2: Convert to fraction form
    1,209,863.25/1,857,093.75 = 1,857,093.75/x
  3. Step 3: Cross multiply
    1,209,863.25x = 1,857,093.75 × 1,857,093.75
  4. Step 4: Simplify right side
    1,209,863.25x = 3,448,797,196,289.06
  5. Step 5: Solve for x
    x = 3,448,797,196,289.06/1,209,863.25
  6. Step 6: Final answer
    x = 2,850,567.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.