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Finding the Third Proportional to 548,433 and 1,222,896

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Solution

The third proportional to 548,433 and 1,222,896 is: 2,726,813.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,433 : 1,222,896 = 1,222,896 : x
  2. Step 2: Convert to fraction form
    548,433/1,222,896 = 1,222,896/x
  3. Step 3: Cross multiply
    548,433x = 1,222,896 × 1,222,896
  4. Step 4: Simplify right side
    548,433x = 1,495,474,626,816
  5. Step 5: Solve for x
    x = 1,495,474,626,816/548,433
  6. Step 6: Final answer
    x = 2,726,813.72

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.