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Finding the Third Proportional to 762,012 and 1,629,080

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Solution

The third proportional to 762,012 and 1,629,080 is: 3,482,755.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,012 : 1,629,080 = 1,629,080 : x
  2. Step 2: Convert to fraction form
    762,012/1,629,080 = 1,629,080/x
  3. Step 3: Cross multiply
    762,012x = 1,629,080 × 1,629,080
  4. Step 4: Simplify right side
    762,012x = 2,653,901,646,400
  5. Step 5: Solve for x
    x = 2,653,901,646,400/762,012
  6. Step 6: Final answer
    x = 3,482,755.71

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