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Finding the Third Proportional to 3,098,500 and 4,736,932

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Solution

The third proportional to 3,098,500 and 4,736,932 is: 7,241,737.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098,500 : 4,736,932 = 4,736,932 : x
  2. Step 2: Convert to fraction form
    3,098,500/4,736,932 = 4,736,932/x
  3. Step 3: Cross multiply
    3,098,500x = 4,736,932 × 4,736,932
  4. Step 4: Simplify right side
    3,098,500x = 22,438,524,772,624
  5. Step 5: Solve for x
    x = 22,438,524,772,624/3,098,500
  6. Step 6: Final answer
    x = 7,241,737.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.