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Finding the Third Proportional to 846,754 and 1,311,923

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Solution

The third proportional to 846,754 and 1,311,923 is: 2,032,635.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,754 : 1,311,923 = 1,311,923 : x
  2. Step 2: Convert to fraction form
    846,754/1,311,923 = 1,311,923/x
  3. Step 3: Cross multiply
    846,754x = 1,311,923 × 1,311,923
  4. Step 4: Simplify right side
    846,754x = 1,721,141,957,929
  5. Step 5: Solve for x
    x = 1,721,141,957,929/846,754
  6. Step 6: Final answer
    x = 2,032,635.17

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.