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Finding the Third Proportional to 415,512 and 901,008

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Solution

The third proportional to 415,512 and 901,008 is: 1,953,771.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,512 : 901,008 = 901,008 : x
  2. Step 2: Convert to fraction form
    415,512/901,008 = 901,008/x
  3. Step 3: Cross multiply
    415,512x = 901,008 × 901,008
  4. Step 4: Simplify right side
    415,512x = 811,815,416,064
  5. Step 5: Solve for x
    x = 811,815,416,064/415,512
  6. Step 6: Final answer
    x = 1,953,771.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.