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Finding the Third Proportional to 434,066 and 952,172

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Solution

The third proportional to 434,066 and 952,172 is: 2,088,695.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,066 : 952,172 = 952,172 : x
  2. Step 2: Convert to fraction form
    434,066/952,172 = 952,172/x
  3. Step 3: Cross multiply
    434,066x = 952,172 × 952,172
  4. Step 4: Simplify right side
    434,066x = 906,631,517,584
  5. Step 5: Solve for x
    x = 906,631,517,584/434,066
  6. Step 6: Final answer
    x = 2,088,695.08

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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.