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Finding the Third Proportional to 415,696 and 895,504

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Solution

The third proportional to 415,696 and 895,504 is: 1,929,119.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,696 : 895,504 = 895,504 : x
  2. Step 2: Convert to fraction form
    415,696/895,504 = 895,504/x
  3. Step 3: Cross multiply
    415,696x = 895,504 × 895,504
  4. Step 4: Simplify right side
    415,696x = 801,927,414,016
  5. Step 5: Solve for x
    x = 801,927,414,016/415,696
  6. Step 6: Final answer
    x = 1,929,119.87

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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.