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Finding the Third Proportional to 1,036,784 and 2,272,857

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Solution

The third proportional to 1,036,784 and 2,272,857 is: 4,982,599.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036,784 : 2,272,857 = 2,272,857 : x
  2. Step 2: Convert to fraction form
    1,036,784/2,272,857 = 2,272,857/x
  3. Step 3: Cross multiply
    1,036,784x = 2,272,857 × 2,272,857
  4. Step 4: Simplify right side
    1,036,784x = 5,165,878,942,449
  5. Step 5: Solve for x
    x = 5,165,878,942,449/1,036,784
  6. Step 6: Final answer
    x = 4,982,599.02

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.