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Finding the Third Proportional to 426,643.88 and 914,010.75

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Solution

The third proportional to 426,643.88 and 914,010.75 is: 1,958,110.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,643.88 : 914,010.75 = 914,010.75 : x
  2. Step 2: Convert to fraction form
    426,643.88/914,010.75 = 914,010.75/x
  3. Step 3: Cross multiply
    426,643.88x = 914,010.75 × 914,010.75
  4. Step 4: Simplify right side
    426,643.88x = 835,415,651,115.56
  5. Step 5: Solve for x
    x = 835,415,651,115.56/426,643.88
  6. Step 6: Final answer
    x = 1,958,110.03

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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.