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Finding the Third Proportional to 667,002 and 1,460,496

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Solution

The third proportional to 667,002 and 1,460,496 is: 3,197,964.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,002 : 1,460,496 = 1,460,496 : x
  2. Step 2: Convert to fraction form
    667,002/1,460,496 = 1,460,496/x
  3. Step 3: Cross multiply
    667,002x = 1,460,496 × 1,460,496
  4. Step 4: Simplify right side
    667,002x = 2,133,048,566,016
  5. Step 5: Solve for x
    x = 2,133,048,566,016/667,002
  6. Step 6: Final answer
    x = 3,197,964.27

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