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Finding the Third Proportional to 874,963.69 and 1,819,766.25

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Solution

The third proportional to 874,963.69 and 1,819,766.25 is: 3,784,784.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,963.69 : 1,819,766.25 = 1,819,766.25 : x
  2. Step 2: Convert to fraction form
    874,963.69/1,819,766.25 = 1,819,766.25/x
  3. Step 3: Cross multiply
    874,963.69x = 1,819,766.25 × 1,819,766.25
  4. Step 4: Simplify right side
    874,963.69x = 3,311,549,204,639.06
  5. Step 5: Solve for x
    x = 3,311,549,204,639.06/874,963.69
  6. Step 6: Final answer
    x = 3,784,784.73

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.