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Finding the Third Proportional to 2,139,778.50 and 4,616,601

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Solution

The third proportional to 2,139,778.50 and 4,616,601 is: 9,960,378.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139,778.50 : 4,616,601 = 4,616,601 : x
  2. Step 2: Convert to fraction form
    2,139,778.50/4,616,601 = 4,616,601/x
  3. Step 3: Cross multiply
    2,139,778.50x = 4,616,601 × 4,616,601
  4. Step 4: Simplify right side
    2,139,778.50x = 21,313,004,793,201
  5. Step 5: Solve for x
    x = 21,313,004,793,201/2,139,778.50
  6. Step 6: Final answer
    x = 9,960,378.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.