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Finding the Third Proportional to 1,384,971 and 2,086,569

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Solution

The third proportional to 1,384,971 and 2,086,569 is: 3,143,582.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384,971 : 2,086,569 = 2,086,569 : x
  2. Step 2: Convert to fraction form
    1,384,971/2,086,569 = 2,086,569/x
  3. Step 3: Cross multiply
    1,384,971x = 2,086,569 × 2,086,569
  4. Step 4: Simplify right side
    1,384,971x = 4,353,770,191,761
  5. Step 5: Solve for x
    x = 4,353,770,191,761/1,384,971
  6. Step 6: Final answer
    x = 3,143,582.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.