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Finding the Third Proportional to 1,171,950 and 1,761,045.75

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Solution

The third proportional to 1,171,950 and 1,761,045.75 is: 2,646,258.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171,950 : 1,761,045.75 = 1,761,045.75 : x
  2. Step 2: Convert to fraction form
    1,171,950/1,761,045.75 = 1,761,045.75/x
  3. Step 3: Cross multiply
    1,171,950x = 1,761,045.75 × 1,761,045.75
  4. Step 4: Simplify right side
    1,171,950x = 3,101,282,133,593.06
  5. Step 5: Solve for x
    x = 3,101,282,133,593.06/1,171,950
  6. Step 6: Final answer
    x = 2,646,258.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.