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Finding the Third Proportional to 4,653,202 and 6,984,728

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Solution

The third proportional to 4,653,202 and 6,984,728 is: 10,484,484.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653,202 : 6,984,728 = 6,984,728 : x
  2. Step 2: Convert to fraction form
    4,653,202/6,984,728 = 6,984,728/x
  3. Step 3: Cross multiply
    4,653,202x = 6,984,728 × 6,984,728
  4. Step 4: Simplify right side
    4,653,202x = 48,786,425,233,984
  5. Step 5: Solve for x
    x = 48,786,425,233,984/4,653,202
  6. Step 6: Final answer
    x = 10,484,484.71

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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.