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Finding the Third Proportional to 2,588,979.75 and 3,883,470

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Solution

The third proportional to 2,588,979.75 and 3,883,470 is: 5,825,205.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588,979.75 : 3,883,470 = 3,883,470 : x
  2. Step 2: Convert to fraction form
    2,588,979.75/3,883,470 = 3,883,470/x
  3. Step 3: Cross multiply
    2,588,979.75x = 3,883,470 × 3,883,470
  4. Step 4: Simplify right side
    2,588,979.75x = 15,081,339,240,900
  5. Step 5: Solve for x
    x = 15,081,339,240,900/2,588,979.75
  6. Step 6: Final answer
    x = 5,825,205.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.