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Finding the Third Proportional to 415,860 and 901,644

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Solution

The third proportional to 415,860 and 901,644 is: 1,954,893.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,860 : 901,644 = 901,644 : x
  2. Step 2: Convert to fraction form
    415,860/901,644 = 901,644/x
  3. Step 3: Cross multiply
    415,860x = 901,644 × 901,644
  4. Step 4: Simplify right side
    415,860x = 812,961,902,736
  5. Step 5: Solve for x
    x = 812,961,902,736/415,860
  6. Step 6: Final answer
    x = 1,954,893.24

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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.