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Finding the Third Proportional to 434,166 and 925,680

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Solution

The third proportional to 434,166 and 925,680 is: 1,973,630.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,166 : 925,680 = 925,680 : x
  2. Step 2: Convert to fraction form
    434,166/925,680 = 925,680/x
  3. Step 3: Cross multiply
    434,166x = 925,680 × 925,680
  4. Step 4: Simplify right side
    434,166x = 856,883,462,400
  5. Step 5: Solve for x
    x = 856,883,462,400/434,166
  6. Step 6: Final answer
    x = 1,973,630.97

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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.