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Finding the Third Proportional to 3,686,239.13 and 5,769,933.75

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Solution

The third proportional to 3,686,239.13 and 5,769,933.75 is: 9,031,463.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686,239.13 : 5,769,933.75 = 5,769,933.75 : x
  2. Step 2: Convert to fraction form
    3,686,239.13/5,769,933.75 = 5,769,933.75/x
  3. Step 3: Cross multiply
    3,686,239.13x = 5,769,933.75 × 5,769,933.75
  4. Step 4: Simplify right side
    3,686,239.13x = 33,292,135,479,389.06
  5. Step 5: Solve for x
    x = 33,292,135,479,389.06/3,686,239.13
  6. Step 6: Final answer
    x = 9,031,463.87

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.