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Finding the Third Proportional to 693,721.88 and 1,463,360.06

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Solution

The third proportional to 693,721.88 and 1,463,360.06 is: 3,086,860.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,721.88 : 1,463,360.06 = 1,463,360.06 : x
  2. Step 2: Convert to fraction form
    693,721.88/1,463,360.06 = 1,463,360.06/x
  3. Step 3: Cross multiply
    693,721.88x = 1,463,360.06 × 1,463,360.06
  4. Step 4: Simplify right side
    693,721.88x = 2,141,422,672,520.00
  5. Step 5: Solve for x
    x = 2,141,422,672,520.00/693,721.88
  6. Step 6: Final answer
    x = 3,086,860.53

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.