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Finding the Third Proportional to 482,184.14 and 1,030,794.61

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Solution

The third proportional to 482,184.14 and 1,030,794.61 is: 2,203,592.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,184.14 : 1,030,794.61 = 1,030,794.61 : x
  2. Step 2: Convert to fraction form
    482,184.14/1,030,794.61 = 1,030,794.61/x
  3. Step 3: Cross multiply
    482,184.14x = 1,030,794.61 × 1,030,794.61
  4. Step 4: Simplify right side
    482,184.14x = 1,062,537,526,716.56
  5. Step 5: Solve for x
    x = 1,062,537,526,716.56/482,184.14
  6. Step 6: Final answer
    x = 2,203,592.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.