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Finding the Third Proportional to 415,536 and 903,936

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Solution

The third proportional to 415,536 and 903,936 is: 1,966,376.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,536 : 903,936 = 903,936 : x
  2. Step 2: Convert to fraction form
    415,536/903,936 = 903,936/x
  3. Step 3: Cross multiply
    415,536x = 903,936 × 903,936
  4. Step 4: Simplify right side
    415,536x = 817,100,292,096
  5. Step 5: Solve for x
    x = 817,100,292,096/415,536
  6. Step 6: Final answer
    x = 1,966,376.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.