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Finding the Third Proportional to 765,454 and 1,647,912

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Solution

The third proportional to 765,454 and 1,647,912 is: 3,547,716.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,454 : 1,647,912 = 1,647,912 : x
  2. Step 2: Convert to fraction form
    765,454/1,647,912 = 1,647,912/x
  3. Step 3: Cross multiply
    765,454x = 1,647,912 × 1,647,912
  4. Step 4: Simplify right side
    765,454x = 2,715,613,959,744
  5. Step 5: Solve for x
    x = 2,715,613,959,744/765,454
  6. Step 6: Final answer
    x = 3,547,716.73

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.