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Finding the Third Proportional to 569,139.75 and 1,218,969.75

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Solution

The third proportional to 569,139.75 and 1,218,969.75 is: 2,610,759.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,139.75 : 1,218,969.75 = 1,218,969.75 : x
  2. Step 2: Convert to fraction form
    569,139.75/1,218,969.75 = 1,218,969.75/x
  3. Step 3: Cross multiply
    569,139.75x = 1,218,969.75 × 1,218,969.75
  4. Step 4: Simplify right side
    569,139.75x = 1,485,887,251,415.06
  5. Step 5: Solve for x
    x = 1,485,887,251,415.06/569,139.75
  6. Step 6: Final answer
    x = 2,610,759.93

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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.