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Finding the Third Proportional to 3,213,868 and 4,406,922

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Solution

The third proportional to 3,213,868 and 4,406,922 is: 6,042,862.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213,868 : 4,406,922 = 4,406,922 : x
  2. Step 2: Convert to fraction form
    3,213,868/4,406,922 = 4,406,922/x
  3. Step 3: Cross multiply
    3,213,868x = 4,406,922 × 4,406,922
  4. Step 4: Simplify right side
    3,213,868x = 19,420,961,514,084
  5. Step 5: Solve for x
    x = 19,420,961,514,084/3,213,868
  6. Step 6: Final answer
    x = 6,042,862.22

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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.