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Finding the Third Proportional to 847,902 and 1,848,256

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Solution

The third proportional to 847,902 and 1,848,256 is: 4,028,826.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,902 : 1,848,256 = 1,848,256 : x
  2. Step 2: Convert to fraction form
    847,902/1,848,256 = 1,848,256/x
  3. Step 3: Cross multiply
    847,902x = 1,848,256 × 1,848,256
  4. Step 4: Simplify right side
    847,902x = 3,416,050,241,536
  5. Step 5: Solve for x
    x = 3,416,050,241,536/847,902
  6. Step 6: Final answer
    x = 4,028,826.73

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.