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Finding the Third Proportional to 782,760 and 1,699,356

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Solution

The third proportional to 782,760 and 1,699,356 is: 3,689,267.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,760 : 1,699,356 = 1,699,356 : x
  2. Step 2: Convert to fraction form
    782,760/1,699,356 = 1,699,356/x
  3. Step 3: Cross multiply
    782,760x = 1,699,356 × 1,699,356
  4. Step 4: Simplify right side
    782,760x = 2,887,810,814,736
  5. Step 5: Solve for x
    x = 2,887,810,814,736/782,760
  6. Step 6: Final answer
    x = 3,689,267.23

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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.