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Finding the Third Proportional to 1,238,016 and 2,678,784

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Solution

The third proportional to 1,238,016 and 2,678,784 is: 5,796,277.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238,016 : 2,678,784 = 2,678,784 : x
  2. Step 2: Convert to fraction form
    1,238,016/2,678,784 = 2,678,784/x
  3. Step 3: Cross multiply
    1,238,016x = 2,678,784 × 2,678,784
  4. Step 4: Simplify right side
    1,238,016x = 7,175,883,718,656
  5. Step 5: Solve for x
    x = 7,175,883,718,656/1,238,016
  6. Step 6: Final answer
    x = 5,796,277.04

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.