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Finding the Third Proportional to 782,757 and 1,699,350

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Solution

The third proportional to 782,757 and 1,699,350 is: 3,689,255.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,757 : 1,699,350 = 1,699,350 : x
  2. Step 2: Convert to fraction form
    782,757/1,699,350 = 1,699,350/x
  3. Step 3: Cross multiply
    782,757x = 1,699,350 × 1,699,350
  4. Step 4: Simplify right side
    782,757x = 2,887,790,422,500
  5. Step 5: Solve for x
    x = 2,887,790,422,500/782,757
  6. Step 6: Final answer
    x = 3,689,255.31

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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.