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Finding the Third Proportional to 415,586 and 908,932

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Solution

The third proportional to 415,586 and 908,932 is: 1,987,933.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,586 : 908,932 = 908,932 : x
  2. Step 2: Convert to fraction form
    415,586/908,932 = 908,932/x
  3. Step 3: Cross multiply
    415,586x = 908,932 × 908,932
  4. Step 4: Simplify right side
    415,586x = 826,157,380,624
  5. Step 5: Solve for x
    x = 826,157,380,624/415,586
  6. Step 6: Final answer
    x = 1,987,933.62

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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.