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Finding the Third Proportional to 420,928 and 923,350

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Solution

The third proportional to 420,928 and 923,350 is: 2,025,465.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,928 : 923,350 = 923,350 : x
  2. Step 2: Convert to fraction form
    420,928/923,350 = 923,350/x
  3. Step 3: Cross multiply
    420,928x = 923,350 × 923,350
  4. Step 4: Simplify right side
    420,928x = 852,575,222,500
  5. Step 5: Solve for x
    x = 852,575,222,500/420,928
  6. Step 6: Final answer
    x = 2,025,465.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.