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Finding the Third Proportional to 2,314,342 and 4,741,436

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Solution

The third proportional to 2,314,342 and 4,741,436 is: 9,713,869.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314,342 : 4,741,436 = 4,741,436 : x
  2. Step 2: Convert to fraction form
    2,314,342/4,741,436 = 4,741,436/x
  3. Step 3: Cross multiply
    2,314,342x = 4,741,436 × 4,741,436
  4. Step 4: Simplify right side
    2,314,342x = 22,481,215,342,096
  5. Step 5: Solve for x
    x = 22,481,215,342,096/2,314,342
  6. Step 6: Final answer
    x = 9,713,869.14

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.