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Finding the Third Proportional to 667,001 and 1,460,494

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Solution

The third proportional to 667,001 and 1,460,494 is: 3,197,960.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,001 : 1,460,494 = 1,460,494 : x
  2. Step 2: Convert to fraction form
    667,001/1,460,494 = 1,460,494/x
  3. Step 3: Cross multiply
    667,001x = 1,460,494 × 1,460,494
  4. Step 4: Simplify right side
    667,001x = 2,133,042,724,036
  5. Step 5: Solve for x
    x = 2,133,042,724,036/667,001
  6. Step 6: Final answer
    x = 3,197,960.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.