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Finding the Third Proportional to 1,058,832 and 1,598,121

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Solution

The third proportional to 1,058,832 and 1,598,121 is: 2,412,083.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058,832 : 1,598,121 = 1,598,121 : x
  2. Step 2: Convert to fraction form
    1,058,832/1,598,121 = 1,598,121/x
  3. Step 3: Cross multiply
    1,058,832x = 1,598,121 × 1,598,121
  4. Step 4: Simplify right side
    1,058,832x = 2,553,990,730,641
  5. Step 5: Solve for x
    x = 2,553,990,730,641/1,058,832
  6. Step 6: Final answer
    x = 2,412,083.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.