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Finding the Third Proportional to 527,852 and 1,150,973

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Solution

The third proportional to 527,852 and 1,150,973 is: 2,509,678.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,852 : 1,150,973 = 1,150,973 : x
  2. Step 2: Convert to fraction form
    527,852/1,150,973 = 1,150,973/x
  3. Step 3: Cross multiply
    527,852x = 1,150,973 × 1,150,973
  4. Step 4: Simplify right side
    527,852x = 1,324,738,846,729
  5. Step 5: Solve for x
    x = 1,324,738,846,729/527,852
  6. Step 6: Final answer
    x = 2,509,678.56

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.