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Finding the Third Proportional to 574,211,650 and 1,259,591,916

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Solution

The third proportional to 574,211,650 and 1,259,591,916 is: 2,763,043,548.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,211,650 : 1,259,591,916 = 1,259,591,916 : x
  2. Step 2: Convert to fraction form
    574,211,650/1,259,591,916 = 1,259,591,916/x
  3. Step 3: Cross multiply
    574,211,650x = 1,259,591,916 × 1,259,591,916
  4. Step 4: Simplify right side
    574,211,650x = 1,586,571,794,852,551,168
  5. Step 5: Solve for x
    x = 1,586,571,794,852,551,168/574,211,650
  6. Step 6: Final answer
    x = 2,763,043,548.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.