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Finding the Third Proportional to 427,304 and 923,134

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Solution

The third proportional to 427,304 and 923,134 is: 1,994,309.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,304 : 923,134 = 923,134 : x
  2. Step 2: Convert to fraction form
    427,304/923,134 = 923,134/x
  3. Step 3: Cross multiply
    427,304x = 923,134 × 923,134
  4. Step 4: Simplify right side
    427,304x = 852,176,381,956
  5. Step 5: Solve for x
    x = 852,176,381,956/427,304
  6. Step 6: Final answer
    x = 1,994,309.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.