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Finding the Third Proportional to 2,479,750 and 3,830,115

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Solution

The third proportional to 2,479,750 and 3,830,115 is: 5,915,830.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,479,750 : 3,830,115 = 3,830,115 : x
  2. Step 2: Convert to fraction form
    2,479,750/3,830,115 = 3,830,115/x
  3. Step 3: Cross multiply
    2,479,750x = 3,830,115 × 3,830,115
  4. Step 4: Simplify right side
    2,479,750x = 14,669,780,913,225
  5. Step 5: Solve for x
    x = 14,669,780,913,225/2,479,750
  6. Step 6: Final answer
    x = 5,915,830.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.