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Finding the Third Proportional to 2,605,914 and 3,986,370

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Solution

The third proportional to 2,605,914 and 3,986,370 is: 6,098,108.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605,914 : 3,986,370 = 3,986,370 : x
  2. Step 2: Convert to fraction form
    2,605,914/3,986,370 = 3,986,370/x
  3. Step 3: Cross multiply
    2,605,914x = 3,986,370 × 3,986,370
  4. Step 4: Simplify right side
    2,605,914x = 15,891,145,776,900
  5. Step 5: Solve for x
    x = 15,891,145,776,900/2,605,914
  6. Step 6: Final answer
    x = 6,098,108.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.