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Finding the Third Proportional to 638,539 and 1,376,734

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Solution

The third proportional to 638,539 and 1,376,734 is: 2,968,333.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,539 : 1,376,734 = 1,376,734 : x
  2. Step 2: Convert to fraction form
    638,539/1,376,734 = 1,376,734/x
  3. Step 3: Cross multiply
    638,539x = 1,376,734 × 1,376,734
  4. Step 4: Simplify right side
    638,539x = 1,895,396,506,756
  5. Step 5: Solve for x
    x = 1,895,396,506,756/638,539
  6. Step 6: Final answer
    x = 2,968,333.19

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Why These Related Problems?

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