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Finding the Third Proportional to 2,180,593 and 3,207,913

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Solution

The third proportional to 2,180,593 and 3,207,913 is: 4,719,223.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180,593 : 3,207,913 = 3,207,913 : x
  2. Step 2: Convert to fraction form
    2,180,593/3,207,913 = 3,207,913/x
  3. Step 3: Cross multiply
    2,180,593x = 3,207,913 × 3,207,913
  4. Step 4: Simplify right side
    2,180,593x = 10,290,705,815,569
  5. Step 5: Solve for x
    x = 10,290,705,815,569/2,180,593
  6. Step 6: Final answer
    x = 4,719,223.54

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.