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Finding the Third Proportional to 643,869 and 1,271,523

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Solution

The third proportional to 643,869 and 1,271,523 is: 2,511,024.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,869 : 1,271,523 = 1,271,523 : x
  2. Step 2: Convert to fraction form
    643,869/1,271,523 = 1,271,523/x
  3. Step 3: Cross multiply
    643,869x = 1,271,523 × 1,271,523
  4. Step 4: Simplify right side
    643,869x = 1,616,770,739,529
  5. Step 5: Solve for x
    x = 1,616,770,739,529/643,869
  6. Step 6: Final answer
    x = 2,511,024.35

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.