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Finding the Third Proportional to 2,001,824 and 4,145,604

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Solution

The third proportional to 2,001,824 and 4,145,604 is: 8,585,186.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001,824 : 4,145,604 = 4,145,604 : x
  2. Step 2: Convert to fraction form
    2,001,824/4,145,604 = 4,145,604/x
  3. Step 3: Cross multiply
    2,001,824x = 4,145,604 × 4,145,604
  4. Step 4: Simplify right side
    2,001,824x = 17,186,032,524,816
  5. Step 5: Solve for x
    x = 17,186,032,524,816/2,001,824
  6. Step 6: Final answer
    x = 8,585,186.57

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.