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Finding the Third Proportional to 1,310,634 and 1,977,993

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Solution

The third proportional to 1,310,634 and 1,977,993 is: 2,985,163.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310,634 : 1,977,993 = 1,977,993 : x
  2. Step 2: Convert to fraction form
    1,310,634/1,977,993 = 1,977,993/x
  3. Step 3: Cross multiply
    1,310,634x = 1,977,993 × 1,977,993
  4. Step 4: Simplify right side
    1,310,634x = 3,912,456,308,049
  5. Step 5: Solve for x
    x = 3,912,456,308,049/1,310,634
  6. Step 6: Final answer
    x = 2,985,163.14

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.