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Finding the Third Proportional to 4,488,916 and 6,964,949

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Solution

The third proportional to 4,488,916 and 6,964,949 is: 10,806,732.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,488,916 : 6,964,949 = 6,964,949 : x
  2. Step 2: Convert to fraction form
    4,488,916/6,964,949 = 6,964,949/x
  3. Step 3: Cross multiply
    4,488,916x = 6,964,949 × 6,964,949
  4. Step 4: Simplify right side
    4,488,916x = 48,510,514,572,601
  5. Step 5: Solve for x
    x = 48,510,514,572,601/4,488,916
  6. Step 6: Final answer
    x = 10,806,732.53

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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.