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Finding the Third Proportional to 825,462 and 1,234,396.50

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Solution

The third proportional to 825,462 and 1,234,396.50 is: 1,845,917.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,462 : 1,234,396.50 = 1,234,396.50 : x
  2. Step 2: Convert to fraction form
    825,462/1,234,396.50 = 1,234,396.50/x
  3. Step 3: Cross multiply
    825,462x = 1,234,396.50 × 1,234,396.50
  4. Step 4: Simplify right side
    825,462x = 1,523,734,719,212.25
  5. Step 5: Solve for x
    x = 1,523,734,719,212.25/825,462
  6. Step 6: Final answer
    x = 1,845,917.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.