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Finding the Third Proportional to 1,606,471.50 and 2,141,723.25

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Solution

The third proportional to 1,606,471.50 and 2,141,723.25 is: 2,855,312.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606,471.50 : 2,141,723.25 = 2,141,723.25 : x
  2. Step 2: Convert to fraction form
    1,606,471.50/2,141,723.25 = 2,141,723.25/x
  3. Step 3: Cross multiply
    1,606,471.50x = 2,141,723.25 × 2,141,723.25
  4. Step 4: Simplify right side
    1,606,471.50x = 4,586,978,479,590.56
  5. Step 5: Solve for x
    x = 4,586,978,479,590.56/1,606,471.50
  6. Step 6: Final answer
    x = 2,855,312.70

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.