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Finding the Third Proportional to 462,679 and 1,071,002

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Solution

The third proportional to 462,679 and 1,071,002 is: 2,479,138.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,679 : 1,071,002 = 1,071,002 : x
  2. Step 2: Convert to fraction form
    462,679/1,071,002 = 1,071,002/x
  3. Step 3: Cross multiply
    462,679x = 1,071,002 × 1,071,002
  4. Step 4: Simplify right side
    462,679x = 1,147,045,284,004
  5. Step 5: Solve for x
    x = 1,147,045,284,004/462,679
  6. Step 6: Final answer
    x = 2,479,138.42

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.