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Finding the Third Proportional to 2,605,942 and 3,986,411

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Solution

The third proportional to 2,605,942 and 3,986,411 is: 6,098,168.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605,942 : 3,986,411 = 3,986,411 : x
  2. Step 2: Convert to fraction form
    2,605,942/3,986,411 = 3,986,411/x
  3. Step 3: Cross multiply
    2,605,942x = 3,986,411 × 3,986,411
  4. Step 4: Simplify right side
    2,605,942x = 15,891,472,660,921
  5. Step 5: Solve for x
    x = 15,891,472,660,921/2,605,942
  6. Step 6: Final answer
    x = 6,098,168.21

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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.