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Finding the Third Proportional to 591,132.94 and 1,229,444.31

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Solution

The third proportional to 591,132.94 and 1,229,444.31 is: 2,557,010.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,132.94 : 1,229,444.31 = 1,229,444.31 : x
  2. Step 2: Convert to fraction form
    591,132.94/1,229,444.31 = 1,229,444.31/x
  3. Step 3: Cross multiply
    591,132.94x = 1,229,444.31 × 1,229,444.31
  4. Step 4: Simplify right side
    591,132.94x = 1,511,533,322,341.05
  5. Step 5: Solve for x
    x = 1,511,533,322,341.05/591,132.94
  6. Step 6: Final answer
    x = 2,557,010.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.