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Finding the Third Proportional to 3,568,207.50 and 5,745,357

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Solution

The third proportional to 3,568,207.50 and 5,745,357 is: 9,250,898.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,568,207.50 : 5,745,357 = 5,745,357 : x
  2. Step 2: Convert to fraction form
    3,568,207.50/5,745,357 = 5,745,357/x
  3. Step 3: Cross multiply
    3,568,207.50x = 5,745,357 × 5,745,357
  4. Step 4: Simplify right side
    3,568,207.50x = 33,009,127,057,449
  5. Step 5: Solve for x
    x = 33,009,127,057,449/3,568,207.50
  6. Step 6: Final answer
    x = 9,250,898.96

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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.