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Finding the Third Proportional to 3,217,729 and 4,728,098

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Solution

The third proportional to 3,217,729 and 4,728,098 is: 6,947,418.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,217,729 : 4,728,098 = 4,728,098 : x
  2. Step 2: Convert to fraction form
    3,217,729/4,728,098 = 4,728,098/x
  3. Step 3: Cross multiply
    3,217,729x = 4,728,098 × 4,728,098
  4. Step 4: Simplify right side
    3,217,729x = 22,354,910,697,604
  5. Step 5: Solve for x
    x = 22,354,910,697,604/3,217,729
  6. Step 6: Final answer
    x = 6,947,418.72

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.