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Finding the Third Proportional to 2,329,634 and 4,983,126

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Solution

The third proportional to 2,329,634 and 4,983,126 is: 10,658,989.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329,634 : 4,983,126 = 4,983,126 : x
  2. Step 2: Convert to fraction form
    2,329,634/4,983,126 = 4,983,126/x
  3. Step 3: Cross multiply
    2,329,634x = 4,983,126 × 4,983,126
  4. Step 4: Simplify right side
    2,329,634x = 24,831,544,731,876
  5. Step 5: Solve for x
    x = 24,831,544,731,876/2,329,634
  6. Step 6: Final answer
    x = 10,658,989.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.