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Finding the Third Proportional to 1,822,041 and 4,218,102

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Solution

The third proportional to 1,822,041 and 4,218,102 is: 9,765,084.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822,041 : 4,218,102 = 4,218,102 : x
  2. Step 2: Convert to fraction form
    1,822,041/4,218,102 = 4,218,102/x
  3. Step 3: Cross multiply
    1,822,041x = 4,218,102 × 4,218,102
  4. Step 4: Simplify right side
    1,822,041x = 17,792,384,482,404
  5. Step 5: Solve for x
    x = 17,792,384,482,404/1,822,041
  6. Step 6: Final answer
    x = 9,765,084.59

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.