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Finding the Third Proportional to 605,282 and 1,328,116

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Solution

The third proportional to 605,282 and 1,328,116 is: 2,914,165.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,282 : 1,328,116 = 1,328,116 : x
  2. Step 2: Convert to fraction form
    605,282/1,328,116 = 1,328,116/x
  3. Step 3: Cross multiply
    605,282x = 1,328,116 × 1,328,116
  4. Step 4: Simplify right side
    605,282x = 1,763,892,109,456
  5. Step 5: Solve for x
    x = 1,763,892,109,456/605,282
  6. Step 6: Final answer
    x = 2,914,165.81

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.