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Finding the Third Proportional to 774,927 and 1,699,380

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Solution

The third proportional to 774,927 and 1,699,380 is: 3,726,663.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,927 : 1,699,380 = 1,699,380 : x
  2. Step 2: Convert to fraction form
    774,927/1,699,380 = 1,699,380/x
  3. Step 3: Cross multiply
    774,927x = 1,699,380 × 1,699,380
  4. Step 4: Simplify right side
    774,927x = 2,887,892,384,400
  5. Step 5: Solve for x
    x = 2,887,892,384,400/774,927
  6. Step 6: Final answer
    x = 3,726,663.78

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.