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Finding the Third Proportional to 485,016 and 1,058,136

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Solution

The third proportional to 485,016 and 1,058,136 is: 2,308,484.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,016 : 1,058,136 = 1,058,136 : x
  2. Step 2: Convert to fraction form
    485,016/1,058,136 = 1,058,136/x
  3. Step 3: Cross multiply
    485,016x = 1,058,136 × 1,058,136
  4. Step 4: Simplify right side
    485,016x = 1,119,651,794,496
  5. Step 5: Solve for x
    x = 1,119,651,794,496/485,016
  6. Step 6: Final answer
    x = 2,308,484.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.