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Finding the Third Proportional to 2,184,288 and 3,419,040

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Solution

The third proportional to 2,184,288 and 3,419,040 is: 5,351,782.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184,288 : 3,419,040 = 3,419,040 : x
  2. Step 2: Convert to fraction form
    2,184,288/3,419,040 = 3,419,040/x
  3. Step 3: Cross multiply
    2,184,288x = 3,419,040 × 3,419,040
  4. Step 4: Simplify right side
    2,184,288x = 11,689,834,521,600
  5. Step 5: Solve for x
    x = 11,689,834,521,600/2,184,288
  6. Step 6: Final answer
    x = 5,351,782.60

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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.