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Finding the Third Proportional to 4,751,000 and 6,454,815

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Solution

The third proportional to 4,751,000 and 6,454,815 is: 8,769,656.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,751,000 : 6,454,815 = 6,454,815 : x
  2. Step 2: Convert to fraction form
    4,751,000/6,454,815 = 6,454,815/x
  3. Step 3: Cross multiply
    4,751,000x = 6,454,815 × 6,454,815
  4. Step 4: Simplify right side
    4,751,000x = 41,664,636,684,225
  5. Step 5: Solve for x
    x = 41,664,636,684,225/4,751,000
  6. Step 6: Final answer
    x = 8,769,656.22

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.