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Finding the Third Proportional to 1,425,884 and 2,969,716

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Solution

The third proportional to 1,425,884 and 2,969,716 is: 6,185,084.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425,884 : 2,969,716 = 2,969,716 : x
  2. Step 2: Convert to fraction form
    1,425,884/2,969,716 = 2,969,716/x
  3. Step 3: Cross multiply
    1,425,884x = 2,969,716 × 2,969,716
  4. Step 4: Simplify right side
    1,425,884x = 8,819,213,120,656
  5. Step 5: Solve for x
    x = 8,819,213,120,656/1,425,884
  6. Step 6: Final answer
    x = 6,185,084.57

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.