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Finding the Third Proportional to 434,037 and 952,115

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Solution

The third proportional to 434,037 and 952,115 is: 2,088,584.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,037 : 952,115 = 952,115 : x
  2. Step 2: Convert to fraction form
    434,037/952,115 = 952,115/x
  3. Step 3: Cross multiply
    434,037x = 952,115 × 952,115
  4. Step 4: Simplify right side
    434,037x = 906,522,973,225
  5. Step 5: Solve for x
    x = 906,522,973,225/434,037
  6. Step 6: Final answer
    x = 2,088,584.55

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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.