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Finding the Third Proportional to 570,568 and 1,222,100

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Solution

The third proportional to 570,568 and 1,222,100 is: 2,617,616.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,568 : 1,222,100 = 1,222,100 : x
  2. Step 2: Convert to fraction form
    570,568/1,222,100 = 1,222,100/x
  3. Step 3: Cross multiply
    570,568x = 1,222,100 × 1,222,100
  4. Step 4: Simplify right side
    570,568x = 1,493,528,410,000
  5. Step 5: Solve for x
    x = 1,493,528,410,000/570,568
  6. Step 6: Final answer
    x = 2,617,616.85

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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.