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Finding the Third Proportional to 1,535,238 and 2,408,035

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Solution

The third proportional to 1,535,238 and 2,408,035 is: 3,777,025.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535,238 : 2,408,035 = 2,408,035 : x
  2. Step 2: Convert to fraction form
    1,535,238/2,408,035 = 2,408,035/x
  3. Step 3: Cross multiply
    1,535,238x = 2,408,035 × 2,408,035
  4. Step 4: Simplify right side
    1,535,238x = 5,798,632,561,225
  5. Step 5: Solve for x
    x = 5,798,632,561,225/1,535,238
  6. Step 6: Final answer
    x = 3,777,025.17

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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.