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Finding the Third Proportional to 2,184,432 and 3,419,208

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Solution

The third proportional to 2,184,432 and 3,419,208 is: 5,351,955.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184,432 : 3,419,208 = 3,419,208 : x
  2. Step 2: Convert to fraction form
    2,184,432/3,419,208 = 3,419,208/x
  3. Step 3: Cross multiply
    2,184,432x = 3,419,208 × 3,419,208
  4. Step 4: Simplify right side
    2,184,432x = 11,690,983,347,264
  5. Step 5: Solve for x
    x = 11,690,983,347,264/2,184,432
  6. Step 6: Final answer
    x = 5,351,955.72

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.