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Finding the Third Proportional to 996,194 and 1,504,659

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Solution

The third proportional to 996,194 and 1,504,659 is: 2,272,648.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,194 : 1,504,659 = 1,504,659 : x
  2. Step 2: Convert to fraction form
    996,194/1,504,659 = 1,504,659/x
  3. Step 3: Cross multiply
    996,194x = 1,504,659 × 1,504,659
  4. Step 4: Simplify right side
    996,194x = 2,263,998,706,281
  5. Step 5: Solve for x
    x = 2,263,998,706,281/996,194
  6. Step 6: Final answer
    x = 2,272,648.41

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Why These Related Problems?

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