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Finding the Third Proportional to 772,491 and 1,677,975

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Solution

The third proportional to 772,491 and 1,677,975 is: 3,644,832.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,491 : 1,677,975 = 1,677,975 : x
  2. Step 2: Convert to fraction form
    772,491/1,677,975 = 1,677,975/x
  3. Step 3: Cross multiply
    772,491x = 1,677,975 × 1,677,975
  4. Step 4: Simplify right side
    772,491x = 2,815,600,100,625
  5. Step 5: Solve for x
    x = 2,815,600,100,625/772,491
  6. Step 6: Final answer
    x = 3,644,832.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.