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Finding the Third Proportional to 557,149 and 1,202,967

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Solution

The third proportional to 557,149 and 1,202,967 is: 2,597,383.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,149 : 1,202,967 = 1,202,967 : x
  2. Step 2: Convert to fraction form
    557,149/1,202,967 = 1,202,967/x
  3. Step 3: Cross multiply
    557,149x = 1,202,967 × 1,202,967
  4. Step 4: Simplify right side
    557,149x = 1,447,129,603,089
  5. Step 5: Solve for x
    x = 1,447,129,603,089/557,149
  6. Step 6: Final answer
    x = 2,597,383.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.