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Finding the Third Proportional to 759,954 and 1,185,939

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Solution

The third proportional to 759,954 and 1,185,939 is: 1,850,705.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,954 : 1,185,939 = 1,185,939 : x
  2. Step 2: Convert to fraction form
    759,954/1,185,939 = 1,185,939/x
  3. Step 3: Cross multiply
    759,954x = 1,185,939 × 1,185,939
  4. Step 4: Simplify right side
    759,954x = 1,406,451,311,721
  5. Step 5: Solve for x
    x = 1,406,451,311,721/759,954
  6. Step 6: Final answer
    x = 1,850,705.85

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.