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Finding the Third Proportional to 634,638 and 1,321,764

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Solution

The third proportional to 634,638 and 1,321,764 is: 2,752,845.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,638 : 1,321,764 = 1,321,764 : x
  2. Step 2: Convert to fraction form
    634,638/1,321,764 = 1,321,764/x
  3. Step 3: Cross multiply
    634,638x = 1,321,764 × 1,321,764
  4. Step 4: Simplify right side
    634,638x = 1,747,060,071,696
  5. Step 5: Solve for x
    x = 1,747,060,071,696/634,638
  6. Step 6: Final answer
    x = 2,752,845.04

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.