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Finding the Third Proportional to 634,764 and 1,383,480

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Solution

The third proportional to 634,764 and 1,383,480 is: 3,015,320.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,764 : 1,383,480 = 1,383,480 : x
  2. Step 2: Convert to fraction form
    634,764/1,383,480 = 1,383,480/x
  3. Step 3: Cross multiply
    634,764x = 1,383,480 × 1,383,480
  4. Step 4: Simplify right side
    634,764x = 1,914,016,910,400
  5. Step 5: Solve for x
    x = 1,914,016,910,400/634,764
  6. Step 6: Final answer
    x = 3,015,320.51

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.