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Finding the Third Proportional to 681,471 and 1,486,723

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Solution

The third proportional to 681,471 and 1,486,723 is: 3,243,491.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,471 : 1,486,723 = 1,486,723 : x
  2. Step 2: Convert to fraction form
    681,471/1,486,723 = 1,486,723/x
  3. Step 3: Cross multiply
    681,471x = 1,486,723 × 1,486,723
  4. Step 4: Simplify right side
    681,471x = 2,210,345,278,729
  5. Step 5: Solve for x
    x = 2,210,345,278,729/681,471
  6. Step 6: Final answer
    x = 3,243,491.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.