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Finding the Third Proportional to 4,653,177 and 6,984,684

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Solution

The third proportional to 4,653,177 and 6,984,684 is: 10,484,408.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653,177 : 6,984,684 = 6,984,684 : x
  2. Step 2: Convert to fraction form
    4,653,177/6,984,684 = 6,984,684/x
  3. Step 3: Cross multiply
    4,653,177x = 6,984,684 × 6,984,684
  4. Step 4: Simplify right side
    4,653,177x = 48,785,810,579,856
  5. Step 5: Solve for x
    x = 48,785,810,579,856/4,653,177
  6. Step 6: Final answer
    x = 10,484,408.95

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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.