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Finding the Third Proportional to 434,713 and 921,762

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Solution

The third proportional to 434,713 and 921,762 is: 1,954,496.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,713 : 921,762 = 921,762 : x
  2. Step 2: Convert to fraction form
    434,713/921,762 = 921,762/x
  3. Step 3: Cross multiply
    434,713x = 921,762 × 921,762
  4. Step 4: Simplify right side
    434,713x = 849,645,184,644
  5. Step 5: Solve for x
    x = 849,645,184,644/434,713
  6. Step 6: Final answer
    x = 1,954,496.84

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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.