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Finding the Third Proportional to 527,968 and 1,151,244

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Solution

The third proportional to 527,968 and 1,151,244 is: 2,510,308.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,968 : 1,151,244 = 1,151,244 : x
  2. Step 2: Convert to fraction form
    527,968/1,151,244 = 1,151,244/x
  3. Step 3: Cross multiply
    527,968x = 1,151,244 × 1,151,244
  4. Step 4: Simplify right side
    527,968x = 1,325,362,747,536
  5. Step 5: Solve for x
    x = 1,325,362,747,536/527,968
  6. Step 6: Final answer
    x = 2,510,308.86

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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.