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Finding the Third Proportional to 407,796 and 869,922.75

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Solution

The third proportional to 407,796 and 869,922.75 is: 1,855,745.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,796 : 869,922.75 = 869,922.75 : x
  2. Step 2: Convert to fraction form
    407,796/869,922.75 = 869,922.75/x
  3. Step 3: Cross multiply
    407,796x = 869,922.75 × 869,922.75
  4. Step 4: Simplify right side
    407,796x = 756,765,590,967.56
  5. Step 5: Solve for x
    x = 756,765,590,967.56/407,796
  6. Step 6: Final answer
    x = 1,855,745.50

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.