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Finding the Third Proportional to 2,583,546 and 5,561,937

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Solution

The third proportional to 2,583,546 and 5,561,937 is: 11,973,908.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583,546 : 5,561,937 = 5,561,937 : x
  2. Step 2: Convert to fraction form
    2,583,546/5,561,937 = 5,561,937/x
  3. Step 3: Cross multiply
    2,583,546x = 5,561,937 × 5,561,937
  4. Step 4: Simplify right side
    2,583,546x = 30,935,143,191,969
  5. Step 5: Solve for x
    x = 30,935,143,191,969/2,583,546
  6. Step 6: Final answer
    x = 11,973,908.42

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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.