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Finding the Third Proportional to 393,056 and 923,952

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Solution

The third proportional to 393,056 and 923,952 is: 2,171,922.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,056 : 923,952 = 923,952 : x
  2. Step 2: Convert to fraction form
    393,056/923,952 = 923,952/x
  3. Step 3: Cross multiply
    393,056x = 923,952 × 923,952
  4. Step 4: Simplify right side
    393,056x = 853,687,298,304
  5. Step 5: Solve for x
    x = 853,687,298,304/393,056
  6. Step 6: Final answer
    x = 2,171,922.83

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.