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Finding the Third Proportional to 809,936 and 1,257,351

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Solution

The third proportional to 809,936 and 1,257,351 is: 1,951,921.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,936 : 1,257,351 = 1,257,351 : x
  2. Step 2: Convert to fraction form
    809,936/1,257,351 = 1,257,351/x
  3. Step 3: Cross multiply
    809,936x = 1,257,351 × 1,257,351
  4. Step 4: Simplify right side
    809,936x = 1,580,931,537,201
  5. Step 5: Solve for x
    x = 1,580,931,537,201/809,936
  6. Step 6: Final answer
    x = 1,951,921.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.