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Finding the Third Proportional to 519,719,791.50 and 1,082,430,945

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Solution

The third proportional to 519,719,791.50 and 1,082,430,945 is: 2,254,400,871.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,719,791.50 : 1,082,430,945 = 1,082,430,945 : x
  2. Step 2: Convert to fraction form
    519,719,791.50/1,082,430,945 = 1,082,430,945/x
  3. Step 3: Cross multiply
    519,719,791.50x = 1,082,430,945 × 1,082,430,945
  4. Step 4: Simplify right side
    519,719,791.50x = 1,171,656,750,693,593,088
  5. Step 5: Solve for x
    x = 1,171,656,750,693,593,088/519,719,791.50
  6. Step 6: Final answer
    x = 2,254,400,871.12

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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.