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Finding the Third Proportional to 519,719,794 and 1,082,430,949

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Solution

The third proportional to 519,719,794 and 1,082,430,949 is: 2,254,400,876.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,719,794 : 1,082,430,949 = 1,082,430,949 : x
  2. Step 2: Convert to fraction form
    519,719,794/1,082,430,949 = 1,082,430,949/x
  3. Step 3: Cross multiply
    519,719,794x = 1,082,430,949 × 1,082,430,949
  4. Step 4: Simplify right side
    519,719,794x = 1,171,656,759,353,040,640
  5. Step 5: Solve for x
    x = 1,171,656,759,353,040,640/519,719,794
  6. Step 6: Final answer
    x = 2,254,400,876.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.