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Finding the Third Proportional to 2,589,462.75 and 3,920,182.13

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Solution

The third proportional to 2,589,462.75 and 3,920,182.13 is: 5,934,755.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589,462.75 : 3,920,182.13 = 3,920,182.13 : x
  2. Step 2: Convert to fraction form
    2,589,462.75/3,920,182.13 = 3,920,182.13/x
  3. Step 3: Cross multiply
    2,589,462.75x = 3,920,182.13 × 3,920,182.13
  4. Step 4: Simplify right side
    2,589,462.75x = 15,367,827,893,169.52
  5. Step 5: Solve for x
    x = 15,367,827,893,169.52/2,589,462.75
  6. Step 6: Final answer
    x = 5,934,755.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.