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Finding the Third Proportional to 434,057 and 952,154

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Solution

The third proportional to 434,057 and 952,154 is: 2,088,659.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,057 : 952,154 = 952,154 : x
  2. Step 2: Convert to fraction form
    434,057/952,154 = 952,154/x
  3. Step 3: Cross multiply
    434,057x = 952,154 × 952,154
  4. Step 4: Simplify right side
    434,057x = 906,597,239,716
  5. Step 5: Solve for x
    x = 906,597,239,716/434,057
  6. Step 6: Final answer
    x = 2,088,659.42

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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.