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Finding the Third Proportional to 2,406,759.75 and 5,285,844

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Solution

The third proportional to 2,406,759.75 and 5,285,844 is: 11,609,030.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406,759.75 : 5,285,844 = 5,285,844 : x
  2. Step 2: Convert to fraction form
    2,406,759.75/5,285,844 = 5,285,844/x
  3. Step 3: Cross multiply
    2,406,759.75x = 5,285,844 × 5,285,844
  4. Step 4: Simplify right side
    2,406,759.75x = 27,940,146,792,336
  5. Step 5: Solve for x
    x = 27,940,146,792,336/2,406,759.75
  6. Step 6: Final answer
    x = 11,609,030.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.