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Finding the Third Proportional to 559,530 and 1,197,589

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Solution

The third proportional to 559,530 and 1,197,589 is: 2,563,257.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,530 : 1,197,589 = 1,197,589 : x
  2. Step 2: Convert to fraction form
    559,530/1,197,589 = 1,197,589/x
  3. Step 3: Cross multiply
    559,530x = 1,197,589 × 1,197,589
  4. Step 4: Simplify right side
    559,530x = 1,434,219,412,921
  5. Step 5: Solve for x
    x = 1,434,219,412,921/559,530
  6. Step 6: Final answer
    x = 2,563,257.40

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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.