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Finding the Third Proportional to 1,369,824 and 2,181,582

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Solution

The third proportional to 1,369,824 and 2,181,582 is: 3,474,387.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369,824 : 2,181,582 = 2,181,582 : x
  2. Step 2: Convert to fraction form
    1,369,824/2,181,582 = 2,181,582/x
  3. Step 3: Cross multiply
    1,369,824x = 2,181,582 × 2,181,582
  4. Step 4: Simplify right side
    1,369,824x = 4,759,300,022,724
  5. Step 5: Solve for x
    x = 4,759,300,022,724/1,369,824
  6. Step 6: Final answer
    x = 3,474,387.97

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.