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Finding the Third Proportional to 2,409,164 and 3,211,824

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Solution

The third proportional to 2,409,164 and 3,211,824 is: 4,281,905.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409,164 : 3,211,824 = 3,211,824 : x
  2. Step 2: Convert to fraction form
    2,409,164/3,211,824 = 3,211,824/x
  3. Step 3: Cross multiply
    2,409,164x = 3,211,824 × 3,211,824
  4. Step 4: Simplify right side
    2,409,164x = 10,315,813,406,976
  5. Step 5: Solve for x
    x = 10,315,813,406,976/2,409,164
  6. Step 6: Final answer
    x = 4,281,905.84

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.