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Finding the Third Proportional to 2,305,939.50 and 3,664,197

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Solution

The third proportional to 2,305,939.50 and 3,664,197 is: 5,822,503.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305,939.50 : 3,664,197 = 3,664,197 : x
  2. Step 2: Convert to fraction form
    2,305,939.50/3,664,197 = 3,664,197/x
  3. Step 3: Cross multiply
    2,305,939.50x = 3,664,197 × 3,664,197
  4. Step 4: Simplify right side
    2,305,939.50x = 13,426,339,654,809
  5. Step 5: Solve for x
    x = 13,426,339,654,809/2,305,939.50
  6. Step 6: Final answer
    x = 5,822,503.00

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.