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Finding the Third Proportional to 1,058,136 and 1,589,616

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Solution

The third proportional to 1,058,136 and 1,589,616 is: 2,388,047.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058,136 : 1,589,616 = 1,589,616 : x
  2. Step 2: Convert to fraction form
    1,058,136/1,589,616 = 1,589,616/x
  3. Step 3: Cross multiply
    1,058,136x = 1,589,616 × 1,589,616
  4. Step 4: Simplify right side
    1,058,136x = 2,526,879,027,456
  5. Step 5: Solve for x
    x = 2,526,879,027,456/1,058,136
  6. Step 6: Final answer
    x = 2,388,047.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.