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Finding the Third Proportional to 431,037 and 923,961

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Solution

The third proportional to 431,037 and 923,961 is: 1,980,581.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,037 : 923,961 = 923,961 : x
  2. Step 2: Convert to fraction form
    431,037/923,961 = 923,961/x
  3. Step 3: Cross multiply
    431,037x = 923,961 × 923,961
  4. Step 4: Simplify right side
    431,037x = 853,703,929,521
  5. Step 5: Solve for x
    x = 853,703,929,521/431,037
  6. Step 6: Final answer
    x = 1,980,581.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.