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Finding the Third Proportional to 1,691,633 and 2,591,031

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Solution

The third proportional to 1,691,633 and 2,591,031 is: 3,968,615.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691,633 : 2,591,031 = 2,591,031 : x
  2. Step 2: Convert to fraction form
    1,691,633/2,591,031 = 2,591,031/x
  3. Step 3: Cross multiply
    1,691,633x = 2,591,031 × 2,591,031
  4. Step 4: Simplify right side
    1,691,633x = 6,713,441,642,961
  5. Step 5: Solve for x
    x = 6,713,441,642,961/1,691,633
  6. Step 6: Final answer
    x = 3,968,615.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.