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Finding the Third Proportional to 417,279 and 901,077

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Solution

The third proportional to 417,279 and 901,077 is: 1,945,795.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,279 : 901,077 = 901,077 : x
  2. Step 2: Convert to fraction form
    417,279/901,077 = 901,077/x
  3. Step 3: Cross multiply
    417,279x = 901,077 × 901,077
  4. Step 4: Simplify right side
    417,279x = 811,939,759,929
  5. Step 5: Solve for x
    x = 811,939,759,929/417,279
  6. Step 6: Final answer
    x = 1,945,795.88

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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.