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Finding the Third Proportional to 1,828,969 and 2,848,141

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Solution

The third proportional to 1,828,969 and 2,848,141 is: 4,435,234.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828,969 : 2,848,141 = 2,848,141 : x
  2. Step 2: Convert to fraction form
    1,828,969/2,848,141 = 2,848,141/x
  3. Step 3: Cross multiply
    1,828,969x = 2,848,141 × 2,848,141
  4. Step 4: Simplify right side
    1,828,969x = 8,111,907,155,881
  5. Step 5: Solve for x
    x = 8,111,907,155,881/1,828,969
  6. Step 6: Final answer
    x = 4,435,234.91

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.