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Finding the Third Proportional to 2,143,589 and 4,598,006

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Solution

The third proportional to 2,143,589 and 4,598,006 is: 9,862,739.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143,589 : 4,598,006 = 4,598,006 : x
  2. Step 2: Convert to fraction form
    2,143,589/4,598,006 = 4,598,006/x
  3. Step 3: Cross multiply
    2,143,589x = 4,598,006 × 4,598,006
  4. Step 4: Simplify right side
    2,143,589x = 21,141,659,176,036
  5. Step 5: Solve for x
    x = 21,141,659,176,036/2,143,589
  6. Step 6: Final answer
    x = 9,862,739.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.