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Finding the Third Proportional to 434,162 and 925,672

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Solution

The third proportional to 434,162 and 925,672 is: 1,973,615.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,162 : 925,672 = 925,672 : x
  2. Step 2: Convert to fraction form
    434,162/925,672 = 925,672/x
  3. Step 3: Cross multiply
    434,162x = 925,672 × 925,672
  4. Step 4: Simplify right side
    434,162x = 856,868,651,584
  5. Step 5: Solve for x
    x = 856,868,651,584/434,162
  6. Step 6: Final answer
    x = 1,973,615.04

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.