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Finding the Third Proportional to 1,143,468 and 2,438,784

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Solution

The third proportional to 1,143,468 and 2,438,784 is: 5,201,428.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143,468 : 2,438,784 = 2,438,784 : x
  2. Step 2: Convert to fraction form
    1,143,468/2,438,784 = 2,438,784/x
  3. Step 3: Cross multiply
    1,143,468x = 2,438,784 × 2,438,784
  4. Step 4: Simplify right side
    1,143,468x = 5,947,667,398,656
  5. Step 5: Solve for x
    x = 5,947,667,398,656/1,143,468
  6. Step 6: Final answer
    x = 5,201,428.81

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.