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Finding the Third Proportional to 1,331,538 and 2,912,176

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Solution

The third proportional to 1,331,538 and 2,912,176 is: 6,369,152.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331,538 : 2,912,176 = 2,912,176 : x
  2. Step 2: Convert to fraction form
    1,331,538/2,912,176 = 2,912,176/x
  3. Step 3: Cross multiply
    1,331,538x = 2,912,176 × 2,912,176
  4. Step 4: Simplify right side
    1,331,538x = 8,480,769,054,976
  5. Step 5: Solve for x
    x = 8,480,769,054,976/1,331,538
  6. Step 6: Final answer
    x = 6,369,152.86

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.