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Finding the Third Proportional to 434,672 and 921,680

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Solution

The third proportional to 434,672 and 921,680 is: 1,954,333.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,672 : 921,680 = 921,680 : x
  2. Step 2: Convert to fraction form
    434,672/921,680 = 921,680/x
  3. Step 3: Cross multiply
    434,672x = 921,680 × 921,680
  4. Step 4: Simplify right side
    434,672x = 849,494,022,400
  5. Step 5: Solve for x
    x = 849,494,022,400/434,672
  6. Step 6: Final answer
    x = 1,954,333.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.