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Finding the Third Proportional to 2,712,744 and 3,971,916

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Solution

The third proportional to 2,712,744 and 3,971,916 is: 5,815,556.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712,744 : 3,971,916 = 3,971,916 : x
  2. Step 2: Convert to fraction form
    2,712,744/3,971,916 = 3,971,916/x
  3. Step 3: Cross multiply
    2,712,744x = 3,971,916 × 3,971,916
  4. Step 4: Simplify right side
    2,712,744x = 15,776,116,711,056
  5. Step 5: Solve for x
    x = 15,776,116,711,056/2,712,744
  6. Step 6: Final answer
    x = 5,815,556.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.