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Finding the Third Proportional to 5,831,739 and 8,208,786

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Solution

The third proportional to 5,831,739 and 8,208,786 is: 11,554,729.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831,739 : 8,208,786 = 8,208,786 : x
  2. Step 2: Convert to fraction form
    5,831,739/8,208,786 = 8,208,786/x
  3. Step 3: Cross multiply
    5,831,739x = 8,208,786 × 8,208,786
  4. Step 4: Simplify right side
    5,831,739x = 67,384,167,593,796
  5. Step 5: Solve for x
    x = 67,384,167,593,796/5,831,739
  6. Step 6: Final answer
    x = 11,554,729.66

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.