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Finding the Third Proportional to 557,006 and 1,189,180

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Solution

The third proportional to 557,006 and 1,189,180 is: 2,538,839.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,006 : 1,189,180 = 1,189,180 : x
  2. Step 2: Convert to fraction form
    557,006/1,189,180 = 1,189,180/x
  3. Step 3: Cross multiply
    557,006x = 1,189,180 × 1,189,180
  4. Step 4: Simplify right side
    557,006x = 1,414,149,072,400
  5. Step 5: Solve for x
    x = 1,414,149,072,400/557,006
  6. Step 6: Final answer
    x = 2,538,839.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.