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Finding the Third Proportional to 823,994 and 1,736,564

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Solution

The third proportional to 823,994 and 1,736,564 is: 3,659,801.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,994 : 1,736,564 = 1,736,564 : x
  2. Step 2: Convert to fraction form
    823,994/1,736,564 = 1,736,564/x
  3. Step 3: Cross multiply
    823,994x = 1,736,564 × 1,736,564
  4. Step 4: Simplify right side
    823,994x = 3,015,654,526,096
  5. Step 5: Solve for x
    x = 3,015,654,526,096/823,994
  6. Step 6: Final answer
    x = 3,659,801.56

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.