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Finding the Third Proportional to 784,878 and 1,695,189

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Solution

The third proportional to 784,878 and 1,695,189 is: 3,661,289.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,878 : 1,695,189 = 1,695,189 : x
  2. Step 2: Convert to fraction form
    784,878/1,695,189 = 1,695,189/x
  3. Step 3: Cross multiply
    784,878x = 1,695,189 × 1,695,189
  4. Step 4: Simplify right side
    784,878x = 2,873,665,745,721
  5. Step 5: Solve for x
    x = 2,873,665,745,721/784,878
  6. Step 6: Final answer
    x = 3,661,289.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.