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Finding the Third Proportional to 743,268 and 1,097,406

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Solution

The third proportional to 743,268 and 1,097,406 is: 1,620,276.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,268 : 1,097,406 = 1,097,406 : x
  2. Step 2: Convert to fraction form
    743,268/1,097,406 = 1,097,406/x
  3. Step 3: Cross multiply
    743,268x = 1,097,406 × 1,097,406
  4. Step 4: Simplify right side
    743,268x = 1,204,299,928,836
  5. Step 5: Solve for x
    x = 1,204,299,928,836/743,268
  6. Step 6: Final answer
    x = 1,620,276.84

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.