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Finding the Third Proportional to 2,822,178 and 4,371,171

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Solution

The third proportional to 2,822,178 and 4,371,171 is: 6,770,351.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822,178 : 4,371,171 = 4,371,171 : x
  2. Step 2: Convert to fraction form
    2,822,178/4,371,171 = 4,371,171/x
  3. Step 3: Cross multiply
    2,822,178x = 4,371,171 × 4,371,171
  4. Step 4: Simplify right side
    2,822,178x = 19,107,135,911,241
  5. Step 5: Solve for x
    x = 19,107,135,911,241/2,822,178
  6. Step 6: Final answer
    x = 6,770,351.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.