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Finding the Third Proportional to 1,016,566.88 and 2,137,969.69

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Solution

The third proportional to 1,016,566.88 and 2,137,969.69 is: 4,496,422.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016,566.88 : 2,137,969.69 = 2,137,969.69 : x
  2. Step 2: Convert to fraction form
    1,016,566.88/2,137,969.69 = 2,137,969.69/x
  3. Step 3: Cross multiply
    1,016,566.88x = 2,137,969.69 × 2,137,969.69
  4. Step 4: Simplify right side
    1,016,566.88x = 4,570,914,384,668.85
  5. Step 5: Solve for x
    x = 4,570,914,384,668.85/1,016,566.88
  6. Step 6: Final answer
    x = 4,496,422.71

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.