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Finding the Third Proportional to 521,928 and 1,002,384

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Solution

The third proportional to 521,928 and 1,002,384 is: 1,925,119.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,928 : 1,002,384 = 1,002,384 : x
  2. Step 2: Convert to fraction form
    521,928/1,002,384 = 1,002,384/x
  3. Step 3: Cross multiply
    521,928x = 1,002,384 × 1,002,384
  4. Step 4: Simplify right side
    521,928x = 1,004,773,683,456
  5. Step 5: Solve for x
    x = 1,004,773,683,456/521,928
  6. Step 6: Final answer
    x = 1,925,119.33

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.