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Finding the Third Proportional to 4,082,400 and 5,843,664

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Solution

The third proportional to 4,082,400 and 5,843,664 is: 8,364,787.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,082,400 : 5,843,664 = 5,843,664 : x
  2. Step 2: Convert to fraction form
    4,082,400/5,843,664 = 5,843,664/x
  3. Step 3: Cross multiply
    4,082,400x = 5,843,664 × 5,843,664
  4. Step 4: Simplify right side
    4,082,400x = 34,148,408,944,896
  5. Step 5: Solve for x
    x = 34,148,408,944,896/4,082,400
  6. Step 6: Final answer
    x = 8,364,787.61

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.