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Finding the Third Proportional to 4,674,117 and 6,992,493

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Solution

The third proportional to 4,674,117 and 6,992,493 is: 10,460,790.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674,117 : 6,992,493 = 6,992,493 : x
  2. Step 2: Convert to fraction form
    4,674,117/6,992,493 = 6,992,493/x
  3. Step 3: Cross multiply
    4,674,117x = 6,992,493 × 6,992,493
  4. Step 4: Simplify right side
    4,674,117x = 48,894,958,355,049
  5. Step 5: Solve for x
    x = 48,894,958,355,049/4,674,117
  6. Step 6: Final answer
    x = 10,460,790.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.