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Finding the Third Proportional to 1,062,108 and 1,601,976.38

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Solution

The third proportional to 1,062,108 and 1,601,976.38 is: 2,416,259.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062,108 : 1,601,976.38 = 1,601,976.38 : x
  2. Step 2: Convert to fraction form
    1,062,108/1,601,976.38 = 1,601,976.38/x
  3. Step 3: Cross multiply
    1,062,108x = 1,601,976.38 × 1,601,976.38
  4. Step 4: Simplify right side
    1,062,108x = 2,566,328,306,058.14
  5. Step 5: Solve for x
    x = 2,566,328,306,058.14/1,062,108
  6. Step 6: Final answer
    x = 2,416,259.28

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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.