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Finding the Third Proportional to 560,406 and 1,203,756

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Solution

The third proportional to 560,406 and 1,203,756 is: 2,585,676.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,406 : 1,203,756 = 1,203,756 : x
  2. Step 2: Convert to fraction form
    560,406/1,203,756 = 1,203,756/x
  3. Step 3: Cross multiply
    560,406x = 1,203,756 × 1,203,756
  4. Step 4: Simplify right side
    560,406x = 1,449,028,507,536
  5. Step 5: Solve for x
    x = 1,449,028,507,536/560,406
  6. Step 6: Final answer
    x = 2,585,676.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.