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Finding the Third Proportional to 569,836.88 and 1,218,729.75

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Solution

The third proportional to 569,836.88 and 1,218,729.75 is: 2,606,539.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,836.88 : 1,218,729.75 = 1,218,729.75 : x
  2. Step 2: Convert to fraction form
    569,836.88/1,218,729.75 = 1,218,729.75/x
  3. Step 3: Cross multiply
    569,836.88x = 1,218,729.75 × 1,218,729.75
  4. Step 4: Simplify right side
    569,836.88x = 1,485,302,203,535.06
  5. Step 5: Solve for x
    x = 1,485,302,203,535.06/569,836.88
  6. Step 6: Final answer
    x = 2,606,539.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.