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Finding the Third Proportional to 1,605,463 and 2,201,542

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Solution

The third proportional to 1,605,463 and 2,201,542 is: 3,018,934.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605,463 : 2,201,542 = 2,201,542 : x
  2. Step 2: Convert to fraction form
    1,605,463/2,201,542 = 2,201,542/x
  3. Step 3: Cross multiply
    1,605,463x = 2,201,542 × 2,201,542
  4. Step 4: Simplify right side
    1,605,463x = 4,846,787,177,764
  5. Step 5: Solve for x
    x = 4,846,787,177,764/1,605,463
  6. Step 6: Final answer
    x = 3,018,934.21

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.