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Finding the Third Proportional to 1,478,138.63 and 3,183,998.63

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Solution

The third proportional to 1,478,138.63 and 3,183,998.63 is: 6,858,522.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478,138.63 : 3,183,998.63 = 3,183,998.63 : x
  2. Step 2: Convert to fraction form
    1,478,138.63/3,183,998.63 = 3,183,998.63/x
  3. Step 3: Cross multiply
    1,478,138.63x = 3,183,998.63 × 3,183,998.63
  4. Step 4: Simplify right side
    1,478,138.63x = 10,137,847,244,001.89
  5. Step 5: Solve for x
    x = 10,137,847,244,001.89/1,478,138.63
  6. Step 6: Final answer
    x = 6,858,522.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.