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Finding the Third Proportional to 434,059 and 952,158

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Solution

The third proportional to 434,059 and 952,158 is: 2,088,667.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,059 : 952,158 = 952,158 : x
  2. Step 2: Convert to fraction form
    434,059/952,158 = 952,158/x
  3. Step 3: Cross multiply
    434,059x = 952,158 × 952,158
  4. Step 4: Simplify right side
    434,059x = 906,604,856,964
  5. Step 5: Solve for x
    x = 906,604,856,964/434,059
  6. Step 6: Final answer
    x = 2,088,667.34

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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.