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Finding the Third Proportional to 435,927 and 923,711

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Solution

The third proportional to 435,927 and 923,711 is: 1,957,304.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,927 : 923,711 = 923,711 : x
  2. Step 2: Convert to fraction form
    435,927/923,711 = 923,711/x
  3. Step 3: Cross multiply
    435,927x = 923,711 × 923,711
  4. Step 4: Simplify right side
    435,927x = 853,242,011,521
  5. Step 5: Solve for x
    x = 853,242,011,521/435,927
  6. Step 6: Final answer
    x = 1,957,304.80

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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.