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Finding the Third Proportional to 630,983 and 1,368,993

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Solution

The third proportional to 630,983 and 1,368,993 is: 2,970,193.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,983 : 1,368,993 = 1,368,993 : x
  2. Step 2: Convert to fraction form
    630,983/1,368,993 = 1,368,993/x
  3. Step 3: Cross multiply
    630,983x = 1,368,993 × 1,368,993
  4. Step 4: Simplify right side
    630,983x = 1,874,141,834,049
  5. Step 5: Solve for x
    x = 1,874,141,834,049/630,983
  6. Step 6: Final answer
    x = 2,970,193.86

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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.