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Finding the Third Proportional to 557,003 and 1,189,174

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Solution

The third proportional to 557,003 and 1,189,174 is: 2,538,827.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,003 : 1,189,174 = 1,189,174 : x
  2. Step 2: Convert to fraction form
    557,003/1,189,174 = 1,189,174/x
  3. Step 3: Cross multiply
    557,003x = 1,189,174 × 1,189,174
  4. Step 4: Simplify right side
    557,003x = 1,414,134,802,276
  5. Step 5: Solve for x
    x = 1,414,134,802,276/557,003
  6. Step 6: Final answer
    x = 2,538,827.98

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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.