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Finding the Third Proportional to 479,712 and 1,056,012

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Solution

The third proportional to 479,712 and 1,056,012 is: 2,324,647.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,712 : 1,056,012 = 1,056,012 : x
  2. Step 2: Convert to fraction form
    479,712/1,056,012 = 1,056,012/x
  3. Step 3: Cross multiply
    479,712x = 1,056,012 × 1,056,012
  4. Step 4: Simplify right side
    479,712x = 1,115,161,344,144
  5. Step 5: Solve for x
    x = 1,115,161,344,144/479,712
  6. Step 6: Final answer
    x = 2,324,647.59

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