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Finding the Third Proportional to 1,613,454 and 3,438,876

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Solution

The third proportional to 1,613,454 and 3,438,876 is: 7,329,535.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613,454 : 3,438,876 = 3,438,876 : x
  2. Step 2: Convert to fraction form
    1,613,454/3,438,876 = 3,438,876/x
  3. Step 3: Cross multiply
    1,613,454x = 3,438,876 × 3,438,876
  4. Step 4: Simplify right side
    1,613,454x = 11,825,868,143,376
  5. Step 5: Solve for x
    x = 11,825,868,143,376/1,613,454
  6. Step 6: Final answer
    x = 7,329,535.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.