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Finding the Third Proportional to 638,770 and 1,382,732

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Solution

The third proportional to 638,770 and 1,382,732 is: 2,993,170.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,770 : 1,382,732 = 1,382,732 : x
  2. Step 2: Convert to fraction form
    638,770/1,382,732 = 1,382,732/x
  3. Step 3: Cross multiply
    638,770x = 1,382,732 × 1,382,732
  4. Step 4: Simplify right side
    638,770x = 1,911,947,783,824
  5. Step 5: Solve for x
    x = 1,911,947,783,824/638,770
  6. Step 6: Final answer
    x = 2,993,170.91

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.