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Finding the Third Proportional to 3,857,460 and 8,400,684

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Solution

The third proportional to 3,857,460 and 8,400,684 is: 18,294,808.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857,460 : 8,400,684 = 8,400,684 : x
  2. Step 2: Convert to fraction form
    3,857,460/8,400,684 = 8,400,684/x
  3. Step 3: Cross multiply
    3,857,460x = 8,400,684 × 8,400,684
  4. Step 4: Simplify right side
    3,857,460x = 70,571,491,667,856
  5. Step 5: Solve for x
    x = 70,571,491,667,856/3,857,460
  6. Step 6: Final answer
    x = 18,294,808.41

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.