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Finding the Third Proportional to 665,107 and 1,454,436

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Solution

The third proportional to 665,107 and 1,454,436 is: 3,180,516.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,107 : 1,454,436 = 1,454,436 : x
  2. Step 2: Convert to fraction form
    665,107/1,454,436 = 1,454,436/x
  3. Step 3: Cross multiply
    665,107x = 1,454,436 × 1,454,436
  4. Step 4: Simplify right side
    665,107x = 2,115,384,078,096
  5. Step 5: Solve for x
    x = 2,115,384,078,096/665,107
  6. Step 6: Final answer
    x = 3,180,516.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.