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Finding the Third Proportional to 429,891.75 and 910,986.75

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Solution

The third proportional to 429,891.75 and 910,986.75 is: 1,930,478.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,891.75 : 910,986.75 = 910,986.75 : x
  2. Step 2: Convert to fraction form
    429,891.75/910,986.75 = 910,986.75/x
  3. Step 3: Cross multiply
    429,891.75x = 910,986.75 × 910,986.75
  4. Step 4: Simplify right side
    429,891.75x = 829,896,858,675.56
  5. Step 5: Solve for x
    x = 829,896,858,675.56/429,891.75
  6. Step 6: Final answer
    x = 1,930,478.68

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.