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Finding the Third Proportional to 619,364 and 905,158

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Solution

The third proportional to 619,364 and 905,158 is: 1,322,826.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,364 : 905,158 = 905,158 : x
  2. Step 2: Convert to fraction form
    619,364/905,158 = 905,158/x
  3. Step 3: Cross multiply
    619,364x = 905,158 × 905,158
  4. Step 4: Simplify right side
    619,364x = 819,311,004,964
  5. Step 5: Solve for x
    x = 819,311,004,964/619,364
  6. Step 6: Final answer
    x = 1,322,826.33

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.