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Finding the Third Proportional to 2,305,212 and 3,703,855.50

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Solution

The third proportional to 2,305,212 and 3,703,855.50 is: 5,951,099.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305,212 : 3,703,855.50 = 3,703,855.50 : x
  2. Step 2: Convert to fraction form
    2,305,212/3,703,855.50 = 3,703,855.50/x
  3. Step 3: Cross multiply
    2,305,212x = 3,703,855.50 × 3,703,855.50
  4. Step 4: Simplify right side
    2,305,212x = 13,718,545,564,880.25
  5. Step 5: Solve for x
    x = 13,718,545,564,880.25/2,305,212
  6. Step 6: Final answer
    x = 5,951,099.32

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.