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Finding the Third Proportional to 417,285 and 901,089

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Solution

The third proportional to 417,285 and 901,089 is: 1,945,819.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,285 : 901,089 = 901,089 : x
  2. Step 2: Convert to fraction form
    417,285/901,089 = 901,089/x
  3. Step 3: Cross multiply
    417,285x = 901,089 × 901,089
  4. Step 4: Simplify right side
    417,285x = 811,961,385,921
  5. Step 5: Solve for x
    x = 811,961,385,921/417,285
  6. Step 6: Final answer
    x = 1,945,819.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.