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Finding the Third Proportional to 2,144,411 and 4,715,286

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Solution

The third proportional to 2,144,411 and 4,715,286 is: 10,368,311.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144,411 : 4,715,286 = 4,715,286 : x
  2. Step 2: Convert to fraction form
    2,144,411/4,715,286 = 4,715,286/x
  3. Step 3: Cross multiply
    2,144,411x = 4,715,286 × 4,715,286
  4. Step 4: Simplify right side
    2,144,411x = 22,233,922,061,796
  5. Step 5: Solve for x
    x = 22,233,922,061,796/2,144,411
  6. Step 6: Final answer
    x = 10,368,311.89

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.