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Finding the Third Proportional to 434,704 and 921,744

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Solution

The third proportional to 434,704 and 921,744 is: 1,954,460.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,704 : 921,744 = 921,744 : x
  2. Step 2: Convert to fraction form
    434,704/921,744 = 921,744/x
  3. Step 3: Cross multiply
    434,704x = 921,744 × 921,744
  4. Step 4: Simplify right side
    434,704x = 849,612,001,536
  5. Step 5: Solve for x
    x = 849,612,001,536/434,704
  6. Step 6: Final answer
    x = 1,954,460.97

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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.