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Finding the Third Proportional to 2,578,373.25 and 5,464,098.75

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Solution

The third proportional to 2,578,373.25 and 5,464,098.75 is: 11,579,539.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578,373.25 : 5,464,098.75 = 5,464,098.75 : x
  2. Step 2: Convert to fraction form
    2,578,373.25/5,464,098.75 = 5,464,098.75/x
  3. Step 3: Cross multiply
    2,578,373.25x = 5,464,098.75 × 5,464,098.75
  4. Step 4: Simplify right side
    2,578,373.25x = 29,856,375,149,751.56
  5. Step 5: Solve for x
    x = 29,856,375,149,751.56/2,578,373.25
  6. Step 6: Final answer
    x = 11,579,539.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.