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Finding the Third Proportional to 2,912,309 and 4,558,596

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Solution

The third proportional to 2,912,309 and 4,558,596 is: 7,135,505.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912,309 : 4,558,596 = 4,558,596 : x
  2. Step 2: Convert to fraction form
    2,912,309/4,558,596 = 4,558,596/x
  3. Step 3: Cross multiply
    2,912,309x = 4,558,596 × 4,558,596
  4. Step 4: Simplify right side
    2,912,309x = 20,780,797,491,216
  5. Step 5: Solve for x
    x = 20,780,797,491,216/2,912,309
  6. Step 6: Final answer
    x = 7,135,505.71

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.