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Finding the Third Proportional to 415,383 and 893,946

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Solution

The third proportional to 415,383 and 893,946 is: 1,923,861.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,383 : 893,946 = 893,946 : x
  2. Step 2: Convert to fraction form
    415,383/893,946 = 893,946/x
  3. Step 3: Cross multiply
    415,383x = 893,946 × 893,946
  4. Step 4: Simplify right side
    415,383x = 799,139,450,916
  5. Step 5: Solve for x
    x = 799,139,450,916/415,383
  6. Step 6: Final answer
    x = 1,923,861.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.