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Finding the Third Proportional to 1,998,978.75 and 2,848,942.13

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Solution

The third proportional to 1,998,978.75 and 2,848,942.13 is: 4,060,308.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998,978.75 : 2,848,942.13 = 2,848,942.13 : x
  2. Step 2: Convert to fraction form
    1,998,978.75/2,848,942.13 = 2,848,942.13/x
  3. Step 3: Cross multiply
    1,998,978.75x = 2,848,942.13 × 2,848,942.13
  4. Step 4: Simplify right side
    1,998,978.75x = 8,116,471,231,599.52
  5. Step 5: Solve for x
    x = 8,116,471,231,599.52/1,998,978.75
  6. Step 6: Final answer
    x = 4,060,308.91

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.