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Finding the Third Proportional to 583,514 and 1,351,667

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Solution

The third proportional to 583,514 and 1,351,667 is: 3,131,036.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,514 : 1,351,667 = 1,351,667 : x
  2. Step 2: Convert to fraction form
    583,514/1,351,667 = 1,351,667/x
  3. Step 3: Cross multiply
    583,514x = 1,351,667 × 1,351,667
  4. Step 4: Simplify right side
    583,514x = 1,827,003,678,889
  5. Step 5: Solve for x
    x = 1,827,003,678,889/583,514
  6. Step 6: Final answer
    x = 3,131,036.58

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.