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Finding the Third Proportional to 2,443,350 and 3,728,205

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Solution

The third proportional to 2,443,350 and 3,728,205 is: 5,688,711.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443,350 : 3,728,205 = 3,728,205 : x
  2. Step 2: Convert to fraction form
    2,443,350/3,728,205 = 3,728,205/x
  3. Step 3: Cross multiply
    2,443,350x = 3,728,205 × 3,728,205
  4. Step 4: Simplify right side
    2,443,350x = 13,899,512,522,025
  5. Step 5: Solve for x
    x = 13,899,512,522,025/2,443,350
  6. Step 6: Final answer
    x = 5,688,711.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.