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Finding the Third Proportional to 664,869 and 1,469,703

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Solution

The third proportional to 664,869 and 1,469,703 is: 3,248,800.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,869 : 1,469,703 = 1,469,703 : x
  2. Step 2: Convert to fraction form
    664,869/1,469,703 = 1,469,703/x
  3. Step 3: Cross multiply
    664,869x = 1,469,703 × 1,469,703
  4. Step 4: Simplify right side
    664,869x = 2,160,026,908,209
  5. Step 5: Solve for x
    x = 2,160,026,908,209/664,869
  6. Step 6: Final answer
    x = 3,248,800.75

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.