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Finding the Third Proportional to 631,002 and 1,368,468

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Solution

The third proportional to 631,002 and 1,368,468 is: 2,967,826.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,002 : 1,368,468 = 1,368,468 : x
  2. Step 2: Convert to fraction form
    631,002/1,368,468 = 1,368,468/x
  3. Step 3: Cross multiply
    631,002x = 1,368,468 × 1,368,468
  4. Step 4: Simplify right side
    631,002x = 1,872,704,667,024
  5. Step 5: Solve for x
    x = 1,872,704,667,024/631,002
  6. Step 6: Final answer
    x = 2,967,826.83

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.