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Finding the Third Proportional to 560,847.94 and 1,223,199

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Solution

The third proportional to 560,847.94 and 1,223,199 is: 2,667,774.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,847.94 : 1,223,199 = 1,223,199 : x
  2. Step 2: Convert to fraction form
    560,847.94/1,223,199 = 1,223,199/x
  3. Step 3: Cross multiply
    560,847.94x = 1,223,199 × 1,223,199
  4. Step 4: Simplify right side
    560,847.94x = 1,496,215,793,601
  5. Step 5: Solve for x
    x = 1,496,215,793,601/560,847.94
  6. Step 6: Final answer
    x = 2,667,774.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.