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Finding the Third Proportional to 533,426 and 1,259,194

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Solution

The third proportional to 533,426 and 1,259,194 is: 2,972,426.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,426 : 1,259,194 = 1,259,194 : x
  2. Step 2: Convert to fraction form
    533,426/1,259,194 = 1,259,194/x
  3. Step 3: Cross multiply
    533,426x = 1,259,194 × 1,259,194
  4. Step 4: Simplify right side
    533,426x = 1,585,569,529,636
  5. Step 5: Solve for x
    x = 1,585,569,529,636/533,426
  6. Step 6: Final answer
    x = 2,972,426.41

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.