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Finding the Third Proportional to 1,822,040 and 4,218,096

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Solution

The third proportional to 1,822,040 and 4,218,096 is: 9,765,062.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822,040 : 4,218,096 = 4,218,096 : x
  2. Step 2: Convert to fraction form
    1,822,040/4,218,096 = 4,218,096/x
  3. Step 3: Cross multiply
    1,822,040x = 4,218,096 × 4,218,096
  4. Step 4: Simplify right side
    1,822,040x = 17,792,333,865,216
  5. Step 5: Solve for x
    x = 17,792,333,865,216/1,822,040
  6. Step 6: Final answer
    x = 9,765,062.16

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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.