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Finding the Third Proportional to 3,213,864 and 4,406,916

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Solution

The third proportional to 3,213,864 and 4,406,916 is: 6,042,853.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213,864 : 4,406,916 = 4,406,916 : x
  2. Step 2: Convert to fraction form
    3,213,864/4,406,916 = 4,406,916/x
  3. Step 3: Cross multiply
    3,213,864x = 4,406,916 × 4,406,916
  4. Step 4: Simplify right side
    3,213,864x = 19,420,908,631,056
  5. Step 5: Solve for x
    x = 19,420,908,631,056/3,213,864
  6. Step 6: Final answer
    x = 6,042,853.29

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.