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Finding the Third Proportional to 794,369 and 1,198,970

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Solution

The third proportional to 794,369 and 1,198,970 is: 1,809,648.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    794,369 : 1,198,970 = 1,198,970 : x
  2. Step 2: Convert to fraction form
    794,369/1,198,970 = 1,198,970/x
  3. Step 3: Cross multiply
    794,369x = 1,198,970 × 1,198,970
  4. Step 4: Simplify right side
    794,369x = 1,437,529,060,900
  5. Step 5: Solve for x
    x = 1,437,529,060,900/794,369
  6. Step 6: Final answer
    x = 1,809,648.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.