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Finding the Third Proportional to 2,279,028 and 4,863,141

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Solution

The third proportional to 2,279,028 and 4,863,141 is: 10,377,292.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279,028 : 4,863,141 = 4,863,141 : x
  2. Step 2: Convert to fraction form
    2,279,028/4,863,141 = 4,863,141/x
  3. Step 3: Cross multiply
    2,279,028x = 4,863,141 × 4,863,141
  4. Step 4: Simplify right side
    2,279,028x = 23,650,140,385,881
  5. Step 5: Solve for x
    x = 23,650,140,385,881/2,279,028
  6. Step 6: Final answer
    x = 10,377,292.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.