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Finding the Third Proportional to 417,174 and 917,268

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Solution

The third proportional to 417,174 and 917,268 is: 2,016,857.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,174 : 917,268 = 917,268 : x
  2. Step 2: Convert to fraction form
    417,174/917,268 = 917,268/x
  3. Step 3: Cross multiply
    417,174x = 917,268 × 917,268
  4. Step 4: Simplify right side
    417,174x = 841,380,583,824
  5. Step 5: Solve for x
    x = 841,380,583,824/417,174
  6. Step 6: Final answer
    x = 2,016,857.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.