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Finding the Third Proportional to 415,588 and 908,936

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Solution

The third proportional to 415,588 and 908,936 is: 1,987,941.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,588 : 908,936 = 908,936 : x
  2. Step 2: Convert to fraction form
    415,588/908,936 = 908,936/x
  3. Step 3: Cross multiply
    415,588x = 908,936 × 908,936
  4. Step 4: Simplify right side
    415,588x = 826,164,652,096
  5. Step 5: Solve for x
    x = 826,164,652,096/415,588
  6. Step 6: Final answer
    x = 1,987,941.55

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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.