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Finding the Third Proportional to 654,849 and 1,375,794

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Solution

The third proportional to 654,849 and 1,375,794 is: 2,890,451.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,849 : 1,375,794 = 1,375,794 : x
  2. Step 2: Convert to fraction form
    654,849/1,375,794 = 1,375,794/x
  3. Step 3: Cross multiply
    654,849x = 1,375,794 × 1,375,794
  4. Step 4: Simplify right side
    654,849x = 1,892,809,130,436
  5. Step 5: Solve for x
    x = 1,892,809,130,436/654,849
  6. Step 6: Final answer
    x = 2,890,451.28

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.